Question

Find the measure of "∠R" from the given figure.

Answer 1

Step 1: Compare the ratio of the corresponding sides of the two triangles.

$\frac{AB}{PQ}$=$\frac{BC}{QR}$ =$\frac{AC}{PR}$ =$\frac{1}{2}$

Step 2: From the SSS similarity, we will get

∆ABC ~ ∆PQR


Step 3: Find the value of ∠R

∠C = ∠R
∠C = 180°− ∠A − ∠B
∠C = 180°− 70°− 60°
∠C = 50° = ∠R