In triangle PQR, the measure of angle P is 48^ and the measure of angle Q is 67^. What is the measure of angle R?

SAT Lines, angles, and triangles Practice Question 3 (Easy)

Question bank / Lines, angles, and triangles

Math · Geometry and TrigonometryEasy

In triangle $PQR$ , the measure of angle $P$ is $48^\circ$ and the measure of angle $Q$ is $67^\circ$ . What is the measure of angle $R$ ?

$55^\circ$

$65^\circ$

$75^\circ$

$115^\circ$

Show answer and explanation

Answer: B

The angle measures of a triangle sum to $180^\circ$ . So $m\angle R = 180^\circ - 48^\circ - 67^\circ = 65^\circ$ .

Choice D is $48^\circ + 67^\circ$ , the measure of the exterior angle at $R$ , not angle $R$ itself.

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