Question in-tri

4.1 Lines, Angles, and Triangles - Triangle sum theorem
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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 ?

A.

21 °

B.

35 °

C.

69 °

D.

111 °

In triangle A B C , the measure of angle B is 52 ° and the

Medium-difficulty · SAT Math · Lines, Angles, and Triangles — Triangle sum theorem. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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

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

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/mo>.