   Chapter 6.2, Problem 11E 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 ∠ 2 =36 ° m A B ⌢ = 4 ⋅ m D C ⌢ Find: a) m A B ⌢ b) m ∠ 1 To determine

(a)

To find:

mAB when m2=36° and mAB=4mDC.

Explanation

Theorem:

The measure of an angle formed when two secants intersects at a point outside the circle is one-half the difference of the measures of the two intercepted arcs.

Calculation:

mAB when m2=36° and mAB=4mDC.

By Theorem,

Let, mDC=x.

m2=12(mABmDC)36°=12(4×xx)36°=

To determine

(b)

To find:

m1 when mAB=96° and mDC=24°.

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