Question

If ∆ACB ≅ ∆PQR and ∠ABC = (2x + 30) °, ∠PQR = 55 ° and ∠ RPQ = 65 °, find the value of x.​

Answer 1

In triangle PQR

∠PQR = 55 °

∠ RPQ = 65 °

∠PRQ=60 °

A/Q

$2x + 30 = 60 \\ = > 2x = 60 - 30 \\ = > x = \frac{30}{2} \\ = > x = 15 \degree$