Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
6. Trapezoids and Kites
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Exercise 74 Page 397

89

Practice makes perfect

Let's find the value of each c for the given figure.

Recall the Polygon Exterior Angle-Sum Theorem.

The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.

In this case, expressions are given for the measures of the exterior angles. We can write an equation where the sum of these expressions is equal to 360. c+(c + 28)+(c + 65)= 360 Let's solve it to find c.
c + (c + 28) + (c + 65) =360
â–Ľ
Solve for c
c + c + 28 + c + 65 = 360
3c + 93 = 360
3c = 267
c = 89