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
