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Geometry and Trigonometry Difficulty: Easy

In △XYZ, the measure of ∠X is 23 ° and the measure of ∠Y is 66 °. What is the measure of ∠Z?

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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.