   Chapter 6.CR, Problem 7CR 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

In Review Exercises 5 to 10, B A → is tangent to the circle at point A in the figure shown. m ∠ E A D = 70 ° ,   m ∠ B = 30 ° ,     m A C ^ = ? To determine

To find: mAC^

Explanation

Theorem:

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

2) The measure of an inscribed angle of a circle is one-half the measure of its intercepted arc.

Calculation:

Given that

mEAD=70°, mB=30° and BA is tangent to the circle at point A.

Subtract 70° from both the sides

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