Question

calculator
△ abc is similar to △ pqr. also, angle a measures 35° and angle b measures 50°.
what is the measure of angle r?
enter your answer in the box.
the measure of angle r = \\(\square\\)°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Find angle C in \(\triangle ABC\)

In \(\triangle ABC\), \(\angle A = 35^\circ\), \(\angle B = 50^\circ\). So \(\angle C=180^\circ - 35^\circ - 50^\circ = 95^\circ\).

Step3: Use similarity of triangles

Since \(\triangle ABC \sim \triangle PQR\), corresponding angles are equal. So \(\angle R=\angle C = 95^\circ\).

Answer:

\(95\)