in triangle abc,angle A+angle B=65 degree and angle B+angle C=140 degree find the measure of each angle of the triangle - Math - Triangles

Question

in triangle abc,angle A+angle B=65 degree and angle B+angle
C=140 degree find the measure of each angle of the triangle

Varun.Rawat · Accepted Answer

We know that,    ∠A + ∠B +∠C = 180°  Angle sum propperty⇒∠A + ∠B + ∠C = 180°⇒65° + ∠C = 180°⇒∠C =180° - 65° = 115°now,∠B +∠C = 140°⇒∠B +115° = 140°⇒∠B = 140° - 115° = 25°Now,∠A + ∠B = 65°⇒∠A = 65° - 25° = 40°

in triangle abc,angle A+angle B=65 degree and angle B+angle C=140 degree.find the measure of each angle of the triangle