Question

a straight angle forms a straight line and has a measure of 180°. together, ∠1 and ∠2 form a straight angle.

m∠1 = 103°. find m∠2.
m∠2 =

Explanation:

Step1: Use the property of straight - angle

Since \(\angle1\) and \(\angle2\) form a straight angle, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Solve for \(m\angle2\)

Given \(m\angle1 = 103^{\circ}\), then \(m\angle2=180^{\circ}-m\angle1\). Substitute \(m\angle1 = 103^{\circ}\) into the formula: \(m\angle2=180^{\circ}- 103^{\circ}\).

$$m\angle2 = 77^{\circ}$$

Answer:

\(77\)