Question

Use the figure to find m∠2.I know that each angle sums up to 180 but im not sure how to find the missing angle when only one degree is given

Answer 1

The angles ∠1 and ∠2 are vertical angles, therefore, their measures are equal.

If we find the measure of ∠1, we find the measure of ∠2.

The sum of the inside angles of a triangle add up to 180º, this gives to us the following equation

`47+57+m\angle1=180`

Solving for the measure of ∠1, we have our answer

`m\angle2=76`