Question

1. the two angles are supplementary angles. if ( mangle1 = 45^{circ} ), then what is the measure of ( angle2 )?

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles sum to \(180^{\circ}\). So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Substitute the given value of \(m\angle1\)

Given \(m\angle1 = 45^{\circ}\), then \(45^{\circ}+m\angle2 = 180^{\circ}\).

Step3: Solve for \(m\angle2\)

Subtract \(45^{\circ}\) from both sides: \(m\angle2=180^{\circ}- 45^{\circ}\).

Answer:

\(135^{\circ}\)