What is the measure of 2A, in degrees?
A. 60°
B. 120°
C. 150
D. Cannot be determined
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Explanation:
Triangle ABC is isosceles because sides AB and AC are the same length (both 8 units long).
The angles opposite these congruent sides are known as the base angles, and they are congruent angles.
So the base angles B and C are 30 degrees each.
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Next, we'll use the idea that for any triangle, the three angles always add to 180
So,
A+B+C = 180
A+30+30 = 180
A+60 = 180
A = 180-60
A = 120 degrees