# ANGLES AND THEIR MEASURES WORKSHEET

Angles and Their Measures Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on angles, their measures and their classifications.

## Angles and Their Measures Worksheet - Problems

Problem 1 :

Name the angles in the figure given below.

Problem 2 :

Each eye of a horse wearing blinkers has an angle of vision that measures 100°. The angle of vision that is seen by both eyes measures 60°.

Find the angle of vision seen by the left eye alone.

Problem 3 :

Plot the points L (-4, 2), M(-1, -1), N (2, 2), Q(4, -1) and P(2, -4). Then, measure and classify the following angles as acute, right, obtuse or straight.

(i) m∠LMN

(ii) mLMP

(iii) mNMQ

(iv) mLMQ

Problem 4 :

Use a protractor to draw two adjacent acute angles  ∠RSP and ∠PST so that ∠RST is

(a) Acute

(b)  Obtuse

## Angles and Their Measures Worksheet - Solutions

Problem 1 :

Name the angles in the figure given below.

Solution :

There are three different angles.

∠PQS or SQP

∠SQR or RQS

∠PQR or RQP

We should name any of the angles as ∠Q, because all three angles have Q as their vertex. The name ∠Q would not distinguish one angle from others.

Problem 2 :

Each eye of a horse wearing blinkers has an angle of vision that measures 100°. The angle of vision that is seen by both eyes measures 60°.

Find the angle of vision seen by the left eye alone.

Solution :

We can use the angle addition postulate.

m∠2 + m∠3  =  100°    (The total for left eye is 100°)

m∠3  =  100° - m∠2    (Subtract m∠2 from each side)

m∠3  =  100° - 60°    (Substitute 60° for m∠2)

m∠3  =  40°    (Subtract)

Hence, the vision for the left eye alone measures is 40°.

Problem 3 :

Plot the points L (-4, 2), M(-1, -1), N (2, 2), Q(4, -1) and P(2, -4). Then, measure and classify the following angles as acute, right, obtuse or straight.

(i) m∠LMN

(ii) mLMP

(iii) mNMQ

(iv) mLMQ

Solution :

Plot the given points in xy coordinate plane.

We can use the protractor to measure and classify each angle as shown below.

 MEASURE(i) m∠LMN  =  90°(ii) m∠LMP  =  180°(iii) m∠NMQ  =  45°(iv) m∠LMQ  =  135° CLASSIFICATIONRight angleStraight angleAcute angleObtuse angle

Note :

Two angles are adjacent angles, if they share a common vertex and side, but have no common interior points.

Problem 4 :

Use a protractor to draw two adjacent acute angles  ∠RSP and ∠PST so that ∠RST is

(a) Acute

(b)  Obtuse

Solution :

Solution (a) :

Solution (b) :

After having gone through the stuff given above, we hope that the students would have understood how to do problems on angles and their measures.

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

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

WORD PROBLEMS

Word problems on simple equations

Word problems on linear 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