Question

1. find the value of x. ans. 17. what is the measure of angle y? ans.

Explanation:

Step1: Recall angle - sum property for a straight - line

The sum of angles on a straight - line is 180°. In the first diagram, the two angles 62° and x° are on a straight - line.
So, 62 + x=180.

Step2: Solve for x

Subtract 62 from both sides of the equation: x = 180 - 62.
x = 118.

In the second diagram, we know that vertical angles are equal. Angle y and the 65° angle are vertical angles.

Answer:

1. 118
2. 65