Question

find the measure of the angles. the angle measures angle 1 degrees. angle 2 degrees. angle 3 degrees.

Explanation:

Step1: Find angle 1

Use the fact that adjacent angles on a straight line sum to \(180^{\circ}\).
\(62^{\circ}+\angle1 = 180^{\circ}\)
\(\angle1=180^{\circ}- 62^{\circ}=118^{\circ}\)

Step2: Find angle 2

Use the fact that vertical angles are equal. \(\angle2\) and \(62^{\circ}\) are vertical angles.
\(\angle2 = 62^{\circ}\)

Step3: Find angle 3

Use the fact that vertical angles are equal. \(\angle3\) and \(\angle1\) are vertical angles.
\(\angle3=\angle1 = 118^{\circ}\)

Answer:

angle 1: \(118\) degrees.
angle 2: \(62\) degrees.
angle 3: \(118\) degrees.