   Chapter 6.2, Problem 5E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find m ∠ R S T if m R T ⌢ : m T S ⌢ = 1 : 4 To determine

To find:

mRST if mRT:mTS=1:4.

Explanation

Definition:

An angle in a semi-circle is supplementary.

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: mRT.

Diameter is RS¯ and tangent is SW.

mRT:mTS=1:4

mRTmTS=14mTS=4mRT

By definition,

mRT+m<

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