Question

find the measure of the missing angles.
answer attempt 2 out of 2
b = □° c = □°

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The angle of \(31^{\circ}\) and \(b\) are vertical angles. So \(b = 31^{\circ}\).

Step2: Use the property of supplementary angles

\(c\) and the \(31^{\circ}\) angle are supplementary (they form a linear - pair). The sum of angles in a linear - pair is \(180^{\circ}\). So \(c=180 - 31\).

$$c = 149^{\circ}$$

Answer:

\(b = 31^{\circ}\), \(c = 149^{\circ}\)