In Triangle ABC, if angle A - angle B = 35 and angle B - angle C = 20. Find angle A, B, C. Share with your friends Share 0 Varun.Rawat answered this We have, ∠A - ∠B = 35°⇒∠A = ∠B + 35° ....1∠B - ∠C = 20°⇒∠C = ∠B - 20° ......2Now, ∠A + ∠B + ∠C = 180° Angle sum property⇒∠B + 35° + ∠B + ∠B - 20° = 180° Using 1 and 2⇒3∠B + 15° = 180°⇒3∠B = 180°-15°⇒3∠B = 165°⇒∠B =55°Now, from 1 and 2, we get∠A = 55°+35° = 90°∠C = 55°-20° = 35° 2 View Full Answer Neha Waghmare answered this let angle B be x so we get angle A=x+35and C=x-20 180=x+35+x+x-20 180=3x+15 180-15=3x 165=3x 165/3=x 55 =x so ,A=90,B=55C=35 1
