body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Secants, Tangents, and Angle Measures

Continue to next subchapter

Exercise 12 Page 764

The measure of an angle formed by a tangent and a line at the point of tangency is half the measure of the intercepted arc.

97

Practice makes perfect

Consider the given diagram.

We want to find m∠ K. We know that if a secant and a tangent intersect at the point of tangency, then the measure of the each angle formed is one half the measure of the intercepted arc. m∠ K = 1/2(mJK) Let's substitute the known values and simplify.

m∠ K = 1/2(mJK)

mJK= 194

m∠ K = 1/2( 194)

MoveRightFacToNum

a/c* b = a* b/c

m∠ K = 1* 194/2

Multiply

m∠ K = 194/2

Calculate quotient

m∠ K = 97

Subchapter links

Exercises p.763-767