The measure of ∠2 is twelve less than five times the measure of ∠1. If ∠1 and ∠2 form a linear pair, find m∠2.

Given:

The measure of ∠2 is twelve less than five times the measure of ∠1.

∠1 and ∠2 form a linear pair.

To find:

The measure of ∠2.

Solution:

Let measure of ∠1 be x.

The measure of ∠2 is twelve less than five times the measure of ∠1.

∠1 and ∠2 form a linear pair. So,

Divide both sides by 6.

Now,

Therefore, the measure of angle 2 is 148 degrees.