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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 6 Page 763

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

150

Practice makes perfect

Consider the given diagram.

We want to find m LP. We know that if two lines intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arc. 36^(∘) = 1/2(mLP - 78^(∘) ) Let's solve it for mLP.

36 = 1/2(mLP - 78 )

LHS * 2=RHS* 2

72 = mLP - 78

LHS+78=RHS+78

150 = mLP

Rearrange equation

mLP = 150

Subchapter links

Exercises p.763-767