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Problem 272: (2009 AMC 10b, 24)
The keystone arch is an ancient architectural feature. It is composed of congruent isosceles trapezoids fitted together along the non-parallel sides, as shown. The bottom sides of the two end trapezoids are horizontal. In an arch made with $9$ trapezoids, let $x$ be the angle measure in degrees of the larger interior angle of the trapezoid. What is $x$? $\text{(A) } 100 \qquad$ $ \text{(B) } 102 \qquad$ $ \text{(C) } 104 \qquad$ $ \text{(D) } 106 \qquad$ $ \text{(E) } 108$
Solution
Exercise 272: Solution
In a keystone arch made with $15$ congruent isosceles trapezoids, let $x$ be the angle measure in degrees of the larger interior angle of a trapezoid. What is $x$?
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