Question

1. solve for m∠b.

Explanation:

Step1: Identify the shape

The figure is a parallelogram (opposite sides are parallel and equal).

Step2: Use the property of consecutive angles in a parallelogram

In a parallelogram, consecutive angles are supplementary (\(m\angle B + m\angle C= 180^{\circ}\)).

Step3: Substitute the value of \(m\angle C\)

Given \(m\angle C = 75^{\circ}\), then \(m\angle B=180^{\circ}- 75^{\circ}\).

Step4: Calculate \(m\angle B\)

\(m\angle B = 105^{\circ}\)

Answer:

\(105^{\circ}\)