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  3. InABC, ABAC and the measure of∠B is 34°. What is the measure of∠A?

InABC, ABAC and the measure of∠B is 34°. What is the measure of∠A?

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问题 InABC, ABAC and the measure of∠B is 34°. What is the measure of∠A?
选项 A、34°
B、56°
C、68°
D、73°
E、112°
答案E
解析 The correct answer is E. A good way to solve this problem is to sketch triangle ABC, as shown below:

You are given that AB is congruent to AC, and that the measure of angle B is 34°. This means that the measure of angle C is also 34°, and the measure of angle A is 180° - 34° - 34° = 112°.
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