Find the value of X, Y, and Z

Question

Answer 1

STEP 1

Angles 2y and 106 are supplementary angles, which means that when added together, they equal 180.

2y + 106 = 180

2y = 74

y = 37

STEP 2

2y and x are corresponding angles, therefore they are equal.

2y = x

2(37) = x

74 = x

STEP 3

106 is a corresponding angle to the angle to 4z + 6, therefore they are equal.

4z + 6 = 106

4z = 100

z = 25

Answer 2

106 + 2y = 180

-106. -106. subtract 106

2y = 74 divide by 2

y = 37

x = 2y from before we know 2y =74 so we can say that x = 74

(4z+6) = 106

-6. -6. subtract 6

4z = 100 divide by 4

z = 25