Question

use the image below to solve for x.

Explanation:

Step1: Observe angle - sum relationship

The sum of the angles 42° and \(x\) and the right - angle (90°) is 180° (since they form a straight line). So, \(42 + x+90=180\).

Step2: Simplify the equation

First, add 42 and 90: \(132 + x=180\).

Step3: Solve for \(x\)

Subtract 132 from both sides of the equation: \(x = 180 - 132\).

Answer:

48