Question

Find the measure of each angle in the diagram

Answer 1

Answers are

3y + 11 = 50
10y = 130
4x -22 = 50
7x + 4 = 130

First we solve for x and y

The two “x” variable angles are supplementary so combined they will equal 180 degrees

(4x -22)+ (7x + 4) = 180
Combine

11x -18 = 180

Add 18 to both sides to isolate variable

11x -18+ 18 = 180 + 18

11x = 198

Divide both sides by 11 to solve for x

11/11 x = 198/11

x = 18

The two “y” variable angles are supplementary so combined they will equal 180 degrees

(3y + 11)+ 10y = 180

Combine

13y + 11 = 180

Subtract 11 from both sides to isolate y

13y + 11 -11 = 180 - 11

13y = 169

Divide both sides by 13 to solve for y

13/13 y = 169/13

y = 13

Now we can solve the angles

3y + 11 =
3(13) + 11 = 50

10y =
10(13) = 130

4x -22 =
4(18) -22 = 50

7x + 4 =
7(18) + 4 = 130

The vertical angle measurement equals each other so it is correct