Question

Two parallel lines are cut by a transversal. Angle 1 measures (4x+28)*, and the angle adjacent to the alternate xterior angle with angle 1 measures (14x+8)*. What is the value of x?

1/2
2
8
12

Answer 1

8

Explanation:

Answer 2

we know that

the alternate exterior angle with angle 1 is equal to the angle 1

so

[angle 1+angle adjacent to the alternate exterior angle with angle 1]=180

Because are supplementary angles

[4x+28]+[14x+8]=180----> 18x+36=180----> 18x=144------> x=144/18

x=8

therefore

the answer is

x=8