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: Recall straight angle property

A straight angle is \(180^\circ\), so \(m\angle1 + m\angle2 = 180^\circ\).

Step2: Substitute \(m\angle1\) value

Given \(m\angle1 = 103^\circ\), substitute into the equation: \(103^\circ + m\angle2 = 180^\circ\).

Step3: Solve for \(m\angle2\)

Subtract \(103^\circ\) from both sides: \(m\angle2 = 180^\circ - 103^\circ = 77^\circ\).

Answer:

77