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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 M1 10x 2 And M2 12x 22 Find The Measure Of Angle 2 class=

Sagot :

Answer:

122

Step-by-step 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