   Chapter 6.2, Problem 4E ### 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

# Find m R T ⌢ if m ∠ R S T : m ∠ R S W = 1 : 5 To determine

To find:

mRT if mRST:mRSW=1:5.

Explanation

Theorem:

The radius drawn to a tangent at the point of tangency is perpendicular to the tangent at that point.

Corollary:

The measure of an angle formed by a tangent and a chord drawn to the point of tangency is one-half the measure of the intercepted arc.

Calculation:

To find: mRSW.

Diameter is RS¯ and tangent is SW.

By theorem,

mRSW=90°

mRST:mRSW=1:5

mRSTmRSW=15mRSW=5mRST90°=5mRST

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