Question

Help fast thanks In the figure below, AB and CD

are straight line segments. Find the values of x and y.

Blank #1: value for x

Blank #2: value for y

Blank # 1

Blank # 2

Answer 1

x = 20

y = 110

Explanation:

5x + 45 + 3x - 25 = 180

those angles are supplementary (they make a straight angle in segment CD)

Solving that you get:

8x + 20 = 180

8x = 160

x = 20

Evaluating:

5(20) + 45 = 145

3(20) - 25 = 35

2(20) - 5 = 35

Now in segment AB:

y + (2x - 5) + (3x - 25) also sum 180, because they form a straight angle

y + 35 + 35 = 180

y = 110