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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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Given: Regular pentagon RSTVQ with equilateral Δ PQR

Find: m V P S

Chapter 7.3, Problem 31E, Given: Regular pentagon RSTVQ with equilateral  PQR Find: mVPS

To determine

To find:

The measure of VPS.

Explanation

Given,

The regular pentagon QRSTV

and mPQR is equilateral.

Calculation:

It is given that ΔPQR is an equilateral triangle.

Therefore, mPQR=60

Interior angle of regular polygon is 108°.

mVQR=mVTS=108mVQP=mVQRmPQR=10860=48

Triangle QVP is isosceles as QP=QV.

Let QVP=QPV=x

In triangle QVP

PQV+2x=180

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