   Chapter 6.2, Problem 47E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# Given: Quadrilateral R S T V inscribed in ⊙ Q Prove: m ∠ R + m ∠ T = m ∠ V + m ∠ S To determine

To prove:

mR+mT=mV+mS

Explanation

Given:

Quadrilateral RSTV is inscribed in Q

Proof:

By theorem, “If a quadrilateral is inscribed in a circle, the opposite angles are supplementary”.

Therefore,

mR+mT=180°...(1)

Similarly mV+mS=180°

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