In △ X Y Z , the measure of ∠ X is 23 ° and the measure of ∠ Y

Question

In &#9651; X Y Z , the measure of &#8736; X is 23 &#176; and the measure of &#8736; Y is 66 &#176; . What is the measure of &#8736; Z ?

Accepted Answer

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 &#176; . It's given that in &#9651; X Y Z , the measure of &#8736; X is 23 &#176; and the measure of &#8736; Y is 66 &#176; . It follows that the measure of &#8736; Z is 180 - 23 - 66 &#176; , or 91 &#176; . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. This is the sum of the measures of &#8736; X and &#8736; Y , not the measure of &#8736; Z . Choice D is incorrect and may result from conceptual or calculation errors.

Question b3738b