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 \(180^{\circ}\).
\(\angle1 + 150^{\circ}=180^{\circ}\)
\(\angle1=180^{\circ}- 150^{\circ}=30^{\circ}\)

Step2: Find angle 2

Use the fact that vertically - opposite angles are equal. \(\angle2\) and \(150^{\circ}\) are vertically - opposite angles.
\(\angle2 = 150^{\circ}\)

Step3: Find angle 3

Use the fact that \(\angle1\) and \(\angle3\) are vertically - opposite angles.
\(\angle3=\angle1 = 30^{\circ}\)

Answer:

angle 1 \(30\) degrees, angle 2 \(150\) degrees, angle 3 \(30\) degrees.