Question

in the figure below, ( mangle2 = 44^{circ} ). find ( mangle1 ).

( mangle1=square^{circ} )

Explanation:

Step1: Use the linear - pair relationship

Angles \( \angle1\) and \( \angle2\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\), so \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Solve for \(m\angle1\)

Given \(m\angle2 = 44^{\circ}\), substitute into the equation \(m\angle1+44^{\circ}=180^{\circ}\). Then \(m\angle1=180^{\circ}- 44^{\circ}\).

$$m\angle1 = 136^{\circ}$$

Answer:

\(136\)