McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
6. Trapezoids and Kites
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Exercise 40 Page 528

If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent.

110

Practice makes perfect
We want to find the measure of ∠ QPS in the given isosceles trapezoid. Let's start from drawing the graph.

We are given that m∠ PQR = 110. Recall that in isosceles trapezoid the base angles are congruent. Therefore angles ∠ PQR and ∠ QPS are congruent, so their measures are equal. m∠ QPS = m∠ PQR ⇕ m∠ QPS=110