Question

12 solve for the missing angles. 112° 1 3 2 m∠1 = m∠2 = m∠3 =

Explanation:

Step1: Find \( m\angle1 \)

Use the property of supplementary angles (sum to \( 180^{\circ} \)).
\( m\angle1=180^{\circ}-112^{\circ}=68^{\circ} \)

Step2: Find \( m\angle2 \)

Use the property of vertical angles (equal). \( \angle2 \) and \( 112^{\circ} \) are vertical angles.
\( m\angle2 = 112^{\circ} \)

Step3: Find \( m\angle3 \)

Use the property of vertical angles. \( \angle3 \) and \( \angle1 \) are vertical angles.
\( m\angle3=m\angle1 = 68^{\circ} \)

Answer:

\( m\angle1 = 68^{\circ} \), \( m\angle2 = 112^{\circ} \), \( m\angle3 = 68^{\circ} \)