If the triangle ABC and PQR are similar and if ∠A =35°, ∠ B=65° then ∠ R=_____.

If the triangle ABC and PQR are similar and if ∠A =35°, ∠…

If the triangle ABC and PQR are similar and if $\angle{A}$ =35°, $\angle$ B=65° then $\angle$ R=_________.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 80°.

The sum of the angles in any triangle is 180°.

∠A + ∠B + ∠C = 180°

⇒ 35° + 65° + ∠C = 180°

⇒ ∠C = 180° - 100° = 80°

Since ΔABC and ΔPQR are similar, their corresponding angles are equal.

∠A = ∠P; ∠B = ∠Q; ∠C = ∠R

∠C = 80° = ∠R

Therefore, the value of ∠R is 80°.