Question

1. solve for the value of x in the diagram below:

Explanation:

Step1: Recall the straight - angle property

A straight angle measures \(180^{\circ}\). So, \(x + 65+75=180\).

Step2: Simplify the equation

First, add \(65\) and \(75\): \(65 + 75=140\). The equation becomes \(x+140 = 180\).

Step3: Solve for \(x\)

Subtract \(140\) from both sides of the equation: \(x=180 - 140\).

Answer:

\(x = 40\)