Question

PLEASE HELP 50 POINTS

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

Answer 1

• 30°

Explanation:

A and B are same side interior angles and hence supplementary:

• m∠A + m∠B = 180°

Substitute values and solve for x:

• 6x - 18 + 14x + 38 = 180
• 20x + 20 = 180
• 20x = 160
• x = 160/20
• x = 8

Find the measure of ∠A:

• m∠A = 6*8° - 18° = 30°