Question

the angles of a triangle are(x+21)degree,x degree and(2x-45) degree. find the value of x.

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Angle A = x°

Angle B = (x+21)°

Angle C = (2x-45)°

Angle A + Angle B + Angle C = 180° ( sum of measure a traingle is 180°)

x + x + 21 + 2x -45 = 180°

4x - 24 = 180°

4x = 180 + 24

4x = 204

x = 204÷4

x = 51°

Angle A = 51°

Angle B = x + 21 = 51+21 = 72°

Angle C = 2x - 45 = 2(51) - 45

= 102 - 45 Angle C = 57°

Therefore x = 51

Angle A = 51°

Angle B = 72°

Angle C = 57°

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