Questions 1-4 : Find the value of x in each diagram shown below.
Question 1 :
Question 2 :
Question 3 :
Question 4 :
Question 5 :
The sum of the two two adjacent angles is 130°. If the second angle is 4 more than six times of the first angle, find the two angles.
1. Answer :
In the diagram above, x° and (2x)° are adjacent angles and also they are complementary.
x° + (2x)° = 90°
x + 2x = 90
3x = 90
Divide each side by 3.
x = 30°
2. Answer :
In the diagram above, (x + 1)°, (x - 1)° and (x + 3)° are adjacent angles and also they are complementary.
(x + 1)° + (x - 1)° + (x + 3) = 90°
x + 1 + x - 1 + x + 3 = 90
Simplify.
3x + 3 = 90
Subtract 3 from each side.
3x = 87
Divide each side by 3.
x = 29
3. Answer :
In the diagram above, (2x + 3)° and (x - 6)° are adjacent angles and also they are supplementary.
(2x + 3)° + (x - 6)° = 180°
2x + 3 + x - 6 = 180
Simplify.
3x - 3 = 180
Add 3 to each side.
3x = 183
Divide each side by 3.
x = 61
4. Answer :
In the diagram above, (5x + 4)°, (x - 2)° and (3x + 7)° are adjacent angles and also they are supplementary.
(5x + 4)° + (x - 2)° + (3x + 7)° = 180°
5x + 4 + x - 2 + 3x + 7 = 180
Simplify.
9x + 9 = 180
Subtract 9 from each side.
9x = 171
Divide each side by 9.
x = 19
5. Answer :
Let x be the first angle.
Then, the second angle is 6x + 4.
Sum of the two angles = 130°
x + 6x + 4 = 130
7x + 4 = 130
Subtract 4 from each side.
7x = 126
Divide each side by 7.
x = 18
6x + 4 = 6(18) + 4
= 112
Hence, the two angles are 18° and 112°.
Apart from the stuff given on above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Jan 16, 22 11:56 PM
Writing Numbers in Words Worksheet
Jan 16, 22 11:40 PM
Operations with Negative Numbers Worksheet
Jan 16, 22 11:23 PM
Operations with Negative Numbers