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find the value of x. a. 20 b. 10 c. 5 d. 15

Question

find the value of x.
a. 20
b. 10
c. 5
d. 15

Explanation:

Step1: Analyze the angle relationship

The sum of \(6x^{\circ}\) and \(60^{\circ}\) is \(90^{\circ}\) (right - angle). So, \(6x+60 = 90\).

Step2: Solve the equation for \(x\)

Subtract \(60\) from both sides: \(6x=90 - 60\), \(6x = 30\). Then divide both sides by \(6\): \(x=\frac{30}{6}\).

Answer:

B. 10