Question

In triangle ABC , m angle A=2x+4 and m angle B=6x-58 The exterior angle at C is represented by 5x. Find the value of x

Answer 1

Answer:

The value of x = 18

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Step-by-step explanation:

Given m∠A = 2x + 4

          m∠B = 6x - 58

The exterior angle at C = 5x

We should know that:

The exterior angle at C = m∠A + m∠B

∴ 5x = (2x + 4) + (6x - 58)

Solve for x

∴ 5x = 2x + 4 + 6x - 58

∴ 5x = 8x - 54              

∴ 5x - 8x = -54

∴ -3x = -54

∴ x = -54/-3 = 18

So, the value of x = 18