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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

6. Secants, Tangents, and Angle Measures

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Exercise 4 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.

31

Practice makes perfect

Consider the given diagram.

We want to find m∠ H. 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. m∠ H = 1/2(mKF - mJG ) Let's substitute the known values and simplify.

m∠ H = 1/2(mKF-mJG)

mKF= 88, mJG= 26

m∠ H = 1/2(88- 26)

Subtract term

m∠ H = 1/2(62)

MoveRightFacToNum

a/c* b = a* b/c

m∠ H = 1* 62/2

Multiply

m∠ H = 62/2

Calculate quotient

m∠ H = 31

Subchapter links

Exercises p.763-767