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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Trapezoids and Kites

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Exercise 39 Page 528

If a quadrilateral is an isosceles trapezoid, then each pair of leg angles is supplementary.

70

Practice makes perfect

We want to find the measure of ∠ QRS 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 leg angles are supplementary. Therefore angles ∠ PQR and ∠ QRS are supplementary, so their measures meet the equation. m∠ PQR + m∠ QRS=180 Let's solve it to find the m∠ QRS.

m∠ PQR + m∠ QRS=180

m∠ PQR= 110

110+m∠ QRS =180

LHS-110=RHS-110

m∠ QRS=70

We found that m∠ QRS=70.

Subchapter links

Exercises p.526-530