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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In exercises 27 to 33, complete a formal proof.

If two consecutive angles of a quadrilateral are supplementary, the quadrilateral is a trapezoid.

To determine

To Prove:

If two consecutive angles of a quadrilateral is supplementary, the quadrilateral is a trapezoid.

Explanation

Consider the trapezoid RSTV

Given: Consecutive angles of a trapezoid RSTV is supplementary.

Prove: RSTV is a trapezoid.

Plan: Draw auxiliary altitudes RX¯andSY¯ in such a way that RX¯VT¯andSY¯VT¯

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