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2. solve for m∠b. 110° 110° 90° 70°

Question

  1. solve for m∠b. 110° 110° 90° 70°

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. So, \(m\angle B + m\angle C=180^{\circ}\).

Step3: Solve for \(m\angle B\)

Given \(m\angle C = 110^{\circ}\), then \(m\angle B=180^{\circ}-110^{\circ}=70^{\circ}\).

Answer:

\(70^{\circ}\)