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the regulations of a paper airplane contest state that all paper airpla…

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.$6x+2LXB06x+7\degree$what is the measure of $\angle rqt$?

Explanation:

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

$\angle RQT = 6x+7 = 6(4)+7$

Answer:

$31^\circ$