Answer:
42°
Explanation:
An exterior angle is equal to the sum of the opposite interior angles.
A + B = 126
The measure of B is twice the measure of A.
B = 2A
Substitute:
A + 2A = 126
3A = 126
A = 42
<A=42°
If the exterior of angle C is 126, the interior is 54.
The sum of the other two angles must be 126. (Exterior Angle Theorem)
If B is twice A, we divide 126 into thirds. This is 42.
So A is 42, B is 84, and C is 54.
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