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alexdok [17]
2 years ago
9

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.

Mathematics
1 answer:
Leona [35]2 years ago
4 0

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.

m\angle 2=(5(m\angle 1)-12)^\circ

m\angle 2=(5x-12)^\circ

∠1 and ∠2 form a linear pair. So,

m\angle 1+m\angle 2=180^\circ

x^\circ+(5x-12)^\circ=180^\circ

6x-12=180

6x=180+12

6x=192

Divide both sides by 6.

x=32

Now,

m\angle 2=(5(32)-12)^\circ

m\angle 2=(160-12)^\circ

m\angle 2=148^\circ

Therefore, the measure of angle 2 is 148 degrees.

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