Question

In a ΔABC,∠A = ∠B + ∠C and then ∠B/∠C = 4/5 ∠B =

Answer 1

Answer:

40°

Step-by-step explanation:

angle A + angle B + angle C = 180°

(angle B + angle C) + angle B + angle C = 180°

2 angle B + 2angle C = 180°

angle B + angle C = 90°

angle B / angle C = 4/5

angle B = 4/5× angle C

4/5 × angle C + angle C = 90°

angle C ( 4/5+1) = 90°

angle C (9/5) = 90°

angle C = 50°

angle B = 90°-50°

= 40°

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