Question

find the value of x
a. 20
b. 28
c. 33
d. 12

Explanation:

Step1: Use the property of adjacent supplementary angles

The sum of adjacent supplementary angles is \(180^{\circ}\). So, \((4x + 10)+122=180\).

Step2: Simplify the equation

\(4x+10 + 122=180\) simplifies to \(4x+132 = 180\).

Step3: Solve for \(x\)

Subtract \(132\) from both sides: \(4x=180 - 132\), so \(4x = 48\). Then divide both sides by \(4\): \(x=\frac{48}{4}=12\).

Answer:

D. 12