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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Secants, Tangents, and Angle Measures

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Exercise 1 Page 763

The measure of an angle formed by two lines that intersect inside a circle is half the sum of the measures of the intercepted arcs.

110

Practice makes perfect

Consider the given diagram.

We want to find m∠ 1. We know that if two secants or chords intersect inside the circle, then the measure of the formed angle is half the sum of the arcs intercepted by the angle and its vertical angle. m∠ 1 = 1/2(mAD+mBC) Let's substitute the known values and evaluate it.

m∠ 1 = 1/2(mAD+mBC)

mAD= 134, mBC= 86

m∠ 1 = 1/2(134+ 86)

Add terms

m∠ 1 = 1/2(220)

MoveRightFacToNum

a/c* b = a* b/c

m∠ 1 = 220/2

Calculate quotient

m∠ 1 = 110

Subchapter links

Exercises p.763-767