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Question
the regulations of a paper airplane contest state that all paper airplanes must be in the shape of an isosceles trapezoid. jaxson used computer software to sketch a trapezoid, as shown.hint:base angles of isosceles trapezoids are congruent.$6x+2 LXB0 6x+7\degree$what is the measure of $\angle rqt$?
Step1: Set legs equal (isosceles trapezoid)
$6x+2 = 10x-14$
Step2: Solve for x
$14+2 = 10x-6x \implies 16=4x \implies x=4$
Step3: Substitute x into angle expression
$\angle RQT = 6x+7 = 6(4)+7$
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$31^\circ$