Question

In a triangle, ∠P - ∠Q = 40° and ∠P + ∠Q = 90°
∠P= ?
∠Q= ?
∠R= ?

Answer 1

Add both equation to get angle P = 65° ,

therefore, Q=25°

Angle R = 180°-25°-65° = 90°

Answer 2

Answer:

by elimination method

angle P = 65

angle Q = 25

by angle sum property

angle R = 180-90 = 90