Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
1. Classify Angles
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Exercise 23 Page 541

9

Practice makes perfect

We want to find the value of x. Let's take a look at the given diagram. We can see that the labeled angles are vertical angles.

We know that vertical angles are congruent. This means that their measures are equal. From the given diagram, we know that the measure of one angle is given by the expression 12x-3 and the measure of the other angle is 105. 12x - 3 = 105 Let's solve this equation for x using the Properties of Equality.
12x - 3 = 105
12x - 3 + 3 = 105 + 3
12x = 108
12x/12 = 108/12
x = 9
We found that x=9.