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a straight angle forms a straight line and has a measure of 180°. toget…

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:

\(77\)