Mid-Chapter Quiz
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Use the Polygon Exterior Angle-Sum Theorem.
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Let's find the value of x for the given figure.
Recall the Polygon Exterior Angle-Sum Theorem.
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Polygon Exterior Angle-Sum Theorem |
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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^(∘). (x - 10) + (x + 15) + 106 + (2x - 35) = 360 Let's solve for x.
Remove parentheses
Add and subtract terms
LHS-76=RHS-76
.LHS /4.=.RHS /4.