   Chapter 6.2, Problem 14E 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

Given: m ∠ 1 = 63 ° m R S ⌢ = 3 x + 6 m V T ⌢ = x Find: m R S ⌢ Exercises 14, 15

To determine

To find:

mRS when m1=63°, mRS=3x+6,mVT=x

Explanation

Theorem:

The measure of an angle formed by two chords that intersect within a circle is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Calculation:

Given,

mRS when m1=63°, mRS=3x+6,mVT=x

By theorem

m1=12(mRS+mVT)63°=12(3x+6+x)63°=12

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