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2009 AMC 10B Question 24

AMC10 · 2009 AMC 10B

Question 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 $x?$

Question illustration
  1. $100$
  2. $102$
  3. $104$
  4. $106$
  5. $108$