Question

The angle measurements in the diagram are represented by the following expressions

Solve for x and then find the measure of

Answer 1

/A = 30°

/B = 150°

Explanation:

Given that the lines are parellel.

Then /A+/B = 180° ( Consecutive interior angles)

Putting given values of angles

6x-18+ 14x+38 = 180

20x + 20 =180

20x = 160

x = 8

/A = 6x-18 = 6×8-18 = 30°

/B = 14x+38 = 14 × 8 +38 = 150°