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180° Choice D is correct. The sum of the angle measures of a triangle is . It’s given 132° 24° that the measure of angle Q is , the measure of angle P is , and the +132+24=180 +152=180 measure of angle R is x°. It follows that x , or x . 152 =24 Subtracting from both sides of this equation yields x . = Alternate approach: It’s given that in the triangle shown, PQ QR. Thus, triangle PQR is an isosceles triangle. Since base angles of an isosceles triangle are congruent, the measure of angle P is equal to the measure of angle R. 24° 24 Therefore, the measure of angle R is , and the value of x is . Choice A is incorrect. This is the sum of the measures, in degrees, of angles Q and P, not the measure, in degrees, of angle R. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the sum of the measures, in degrees, of angles P and R, not the measure, in degrees, of angle R.