If the angles of triangle PQR satisfy the relation 2R - P = Q - R, then find the measure of angle R.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 45°.
Sum of all angles of a triangle is 180°.
According to the given question,
In triangle PQR, ∠P + ∠Q + ∠R = 180° ...(i)
Also, given 2R - P = Q - R
⇒ P + Q = 3R ...(ii)
Putting the value from equation (ii) in equation (i),
⇒ 3R + R = 180°
⇒ 4R = 180°
⇒ R = 45°