Question

find the measures of angles 1 - 7

angle 1

angle 2

angle 3

Explanation:

Step1: Find angle 1

Use the property of supplementary angles (sum to \(180^{\circ}\)).
\(\angle1 + 110^{\circ}=180^{\circ}\)
\(\angle1=180^{\circ}- 110^{\circ}=70^{\circ}\)

Step2: Find angle 2

Use the property of supplementary angles (sum to \(180^{\circ}\)).
\(\angle2 + 115^{\circ}=180^{\circ}\)
\(\angle2=180^{\circ}-115^{\circ}=65^{\circ}\)

Step3: Find angle 3

Use the property of vertical angles (equal). \(\angle3\) and \(\angle2\) are vertical angles.
\(\angle3=\angle2 = 65^{\circ}\)

Answer:

Angle 1: \(70\)
Angle 2: \(65\)
Angle 3: \(65\)