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find the value of x. a. 45 b. 15 c. 30 d. 56

Question

find the value of x.
a. 45
b. 15
c. 30
d. 56

Explanation:

Step1: Use the property of supplementary angles

Supplementary angles sum to \(180^{\circ}\). So, \(4x + 60=180\).

Step2: Solve the equation for \(x\)

Subtract \(60\) from both sides: \(4x=180 - 60\), which simplifies to \(4x = 120\). Then divide both sides by \(4\): \(x=\frac{120}{4}=30\).

Answer:

C. 30