Question

(Figure not to scale) In this figure, ∠B = 6x and ∠C = 5x ∠A is 20 degree more than ∠C Which is the largest angle of the triangle and what is its degree measure?

Answer 1

Answer:

∠A = 70°

Step-by-step explanation:

∠A = 20 + ∠C = 20 + 5x

∠B = 6x

∠C = 5x

By angle sum property of triangle,

∠A + ∠B + ∠C = 180°

=> 20° + 5x + 6x + 5x = 180°

=> 16x = 180° - 20°

=> x = 160° ÷ 16 = 10°

∠A = 20 + ∠C = 20 + 50° = 70°

∠B = 6x = 6× 10° = 60°

∠C = 5x = 5 × 10° = 50°

Largest angle is angle A = 70°