Question in-965

4.1 Lines, Angles, and Triangles - Triangle sum theorem
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In XYZ, the measure of X is 23 ° and the measure of Y is 66 °. What is the measure of Z?

A.

43 °

B.

89 °

C.

91 °

D.

179 °

In △ X Y Z , the measure of ∠ X is 23 ° 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 C is correct. The triangle angle sum theorem states that the sum of the measures of the interior angles of a triangle is 180°. It's given that in XYZ, the measure of X is 23° and the measure of Y is 66°. It follows that the measure of Z is 180-23-66°, or 91°.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the sum of the measures of X and Y, not the measure of Z.

Choice D is incorrect and may result from conceptual or calculation errors.