Question

In the figure, the measure of ∠CAD is twice the measure of ∠CAB.

What is the measure of ∠CAB?

120
30
60
45

Answer 1

The answer should be 60 degrees

Answer 2

∠ CAB = 60°

Explanation:

Given that ∠ CAD is twice ∠ CAB then ∠ CAD = 2 ∠ CAB

∠ CAB and ∠ CAD are adjacent angles and sum to 180° , then

∠ CAB + 2 ∠ CAB = 180°

3 ∠ CAB = 180° ( divide both sides by 3 )

∠ CAB = 60°