# ANGLES IN STANDARD POSITION WORKSHEET

Angles in Standard Position Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on angles in standard position.

Before look at the worksheet, if you would like to learn about the angles in standard position,

Please click here

## Angles in Standard Position Worksheet - Problems

Problem 1 :

Draw the following angle in standard position.

-340°

Problem 2 :

Draw the following angle in standard position.

150°

Problem 3 :

Draw the following angle in standard position.

-185°

Problem 4 :

Draw the following angle in standard position.

300°

Problem 5 :

Draw the following angle in standard position.

220°

Problem 6 :

State the related angle for the principal angle shown below.

Problem 7 :

State the related angle for the principal angle shown below.

Problem 8 :

State the related angle for the principal angle shown below.

Problem 9 :

Find the measure of principal angle shown below.

Problem 10 :

Find the measure of principal angle shown below.

Problem 11 :

State the quadrant in which the terminal side of the following angle lies.

300°

Problem 12 :

State the quadrant in which the terminal side of the following angle lies.

40°

Problem 13 :

State the quadrant in which the terminal side of the following angle lies.

-222°

Problem 14 :

State the quadrant in which the terminal side of the following angle lies.

-30°

Problem 15 :

State the quadrant in which the terminal side of the following angle lies.

103°

## Angles in Standard Position Worksheet - Problems

Problem 1 :

Draw the following angle in standard position.

-340°

Solution :

Problem 2 :

Draw the following angle in standard position.

150°

Solution :

Problem 3 :

Draw the following angle in standard position.

-185°

Solution :

Problem 4 :

Draw the following angle in standard position.

300°

Solution :

Problem 5 :

Draw the following angle in standard position.

220°

Solution :

Problem 6 :

State the related angle for the principal angle shown below.

Solution :

The related angle for the principal angle shown above is

=  360° - 340°

=  20°

Problem 7 :

State the related angle for the principal angle shown below.

Solution :

The related angle for the principal angle shown above is

=  360° - 355°

=  5°

Problem 8 :

State the related angle for the principal angle shown below.

Solution :

The related angle for the principal angle shown above is

=  360° - 220°

=  140°

Problem 9 :

Find the measure of principal angle shown below.

Solution :

The measure of principal angle of the angle shown above is

=  (-270°) + (-20°)

=  -270° - 20°

=  -290°

Problem 10 :

Find the measure of principal angle shown below.

Solution :

The measure of principal angle of the angle shown above is

=  90° + 30°

=  120°

Problem 11 :

State the quadrant in which the terminal side of the following angle lies.

300°

Solution :

300° lies between 270° and 360°

So, the terminal side of 300° lies in the fourth quadrant.

Problem 12 :

State the quadrant in which the terminal side of the following angle lies.

40°

Solution :

40° lies between 0° and 90°

So, the terminal side of 40° lies in the first quadrant.

Problem 13 :

State the quadrant in which the terminal side of the following angle lies.

-222°

Solution :

Because the given angle is negative, we have to find the related angle for -222°.

The related angle for the angle -222° is

=  360° - 222°

=  138°

138° lies between 90° and 180°

So, 138° lies in the second quadrant.

Because the related angle 138° lies in the first quadrant, its principal angle -222° will also lie in the same first quadrant.

Therefore, the terminal side of -222° lies in the second quadrant.

Problem 14 :

State the quadrant in which the terminal side of the following angle lies.

-30°

Solution :

Because the given angle is negative, we have to find the related angle for -30°.

The related angle for the angle -30° is

=  360° - 30°

=  330°

330° lies between 270° and 360°

So, 330° lies in the fourth quadrant.

Because the related angle 330° lies in the fourth quadrant, its principal angle -30° will also lie in the same fourth quadrant.

Therefore, the terminal side of -30° lies in the fourth quadrant.

Problem 15 :

State the quadrant in which the terminal side of the following angle lies.

103°

Solution :

103° lies between 90° and 180°

So, the terminal side of 103° lies in the second quadrant.

After having gone through the stuff given above, we hope that the students would have understood the angles in standard position.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6