Question

4) Angle PQS is an exterior angle of A PQR. P = 45, R = 70. Find the measure of L PQS.​

Answer 1

Answer:

In ΔPQR,

∠P + ∠Q + ∠R = 180∘ (Angle sum property)

⇒ 70∘ + 65∘ + ∠R = 180∘

⇒ 135∘ + ∠R = 180∘

⇒ ∠R = 180∘ − 135∘

= 45∘

Hence, the measure of ∠R is 45∘.