Question

angle C =2 angle B,angle B + angle C=75, angle A =?,angle B =?,angle C=?​

Answer 1

Angle A = 105°

Angle B = 25°

Angle C = 50°

Step-by-step explanation:

GIVEN

Angle C = 2 × Angle B

Angle B + Angle C = 75

___________________________

TO FIND

Angle A

Angle B

Angle C

___________________________

We know that,

Measure of all angles of triangle is 180°

Therefore,

Angle A + Angle B + Angle C = 180°

Angle B + 75° + 105° = 180°

Angle A = 180° - 75°

Angle A = 105°

Angle A = 105°

___________________________

We know that,

Angle B + Angle C = 75°

Angle B = 75 / 3

Angle B = 25°

Angle B = 25°

___________________________

We know that,

Angle C = 2 × Angle B

Angle C = 2 × Angle B

Angle C = 2 × 25°

Angle C = 50°

Angle C = 50°

Answer 2

Answer:

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