Analyze the graph then find the measure of angle gji. a. 15 degrees b. 75 degrees c. 100 degrees d. 105 degrees

Well, we know that GJI and FJH are congruent angles (have the same angle measure) this will help us to figure it out.

x + 60 = 5x   is our equation.

Find the number that fits. We know that the number must be a multiple of 5, since the last part of the equation is 5x.

5?  5 + 60 = 65     5 x 5 = 25    65 does not equal 25 at all. 

10? 10 + 60 = 70   5 x 10 = 50    70 does not equal 50, although we're closer.

15?   15 + 60 = 75   5 x 15 = 75     75 = 75   There's the answer! x = 15

Therefore, each angle measures 75 degrees!

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