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In the picture, t || s, m∠1 = 10x + 2, and m∠2 = 12x – 22. Find the measure of angle 2.

In the picture, t || s, m∠1 = 10x + 2, and m∠2 = 12x – 22. Find the measure of angle-example-1
User Teleaziz
by
5.0k points

1 Answer

3 votes

Answer:

122

Explanation:

Given information, line t is parallel to line s.

angle 1 and angle 2 are alternate angles and so their measure is equal to each other:

10x + 2 = 12x - 22 transfer like terms to the same side of the equation

2 + 22 = 12x - 10x

24 = 2x divide both sides by 2

12 = x to find the measure of angle 2 replace x with the value we found

12*12 - 22 = 122

User Timothy Groote
by
4.4k points
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