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Geometry and Trigonometry Difficulty: Easy

In triangle A B C , the measure of angle B is 52° and the measure of angle C is 17°. What is the measure of angle A ?

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Explanation

Choice D is correct. The sum of the angle measures of a triangle is 180°. Adding the measures of angles B and C gives 52+17=69°. Therefore, the measure of angle A is 180-69=111°.

Choice A is incorrect and may result from subtracting the sum of the measures of angles B and C from 90°, instead of from 180°.

Choice B is incorrect and may result from subtracting the measure of angle C from the measure of angle B .

Choice C is incorrect and may result from adding the measures of angles B and C but not subtracting the result from 180°.