Question

In ΔPQR of the given figure, PQ = PR. Find the measures of ∠Q and ∠R.

Answer 1

∠PRQ = ∠PQR   ...[∵ PQ = PR (Given)]

Now, in ∆PQR,

∠PQR + ∠PRQ + ∠QPR = 180°  ...[Angle sum property]

⇒ 2∠PQR + 30° = 180°  ...[Using (i)]

⇒ 2∠PQR = 180° – 30° = 150°

⇒ ∠PQR = `150^circ/2` = 75°

Thus, ∠Q = ∠R = 75°