Question

1. supplementary angles

angle a measures 118° and forms a supplementary pair with angle b.
what is the measure of angle b?

Explanation:

Step1: Recall supplementary angles property

Supplementary angles add up to \(180^\circ\). So, if \(\angle A\) and \(\angle B\) are supplementary, then \(m\angle A + m\angle B = 180^\circ\).

Step2: Substitute the value of \(\angle A\)

We know \(m\angle A = 118^\circ\). Substitute this into the equation: \(118^\circ + m\angle B = 180^\circ\).

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

Subtract \(118^\circ\) from both sides: \(m\angle B = 180^\circ - 118^\circ = 62^\circ\).

Answer:

The measure of Angle B is \(62^\circ\).