Question

what is the value of x? use the number pad to enter your answer in the box. x =

Explanation:

Step1: Identify angle - relationship

The two angles \(7x\) and \(15x + 4\) are supplementary (linear - pair of angles, sum to \(180^{\circ}\)). So, \(7x+(15x + 4)=180\).

Step2: Simplify the equation

Combine like - terms: \(7x+15x+4 = 180\), which gives \(22x+4 = 180\).

Step3: Isolate the variable term

Subtract 4 from both sides: \(22x=180 - 4\), so \(22x=176\).

Step4: Solve for x

Divide both sides by 22: \(x=\frac{176}{22}\).

Answer:

8