Download Presentation
## 6.5

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**6.5**Apply Other Angle Relationships B C A Theorem 6.13 If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.**6.5**Apply Other Angle Relationships B m E D m A F Find angle and arc measures Example 1 Line m is tangent to the circle. Find the indicated measure. Solution**6.5**Apply Other Angle Relationships A B C Checkpoint. Find the indicated measure.**6.5**Apply Other Angle Relationships D A C B Theorem 6.14 If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle.**6.5**Apply Other Angle Relationships J F The chords FH and GJ intersect inside the circle. H G Find an angle measure inside a circle Example 2 Find the value of x. Solution**6.5**Apply Other Angle Relationships F J H G Checkpoint. Find the value of x.**6.5**Apply Other Angle Relationships B A X W C P Z Q Y R Theorem 6.15 If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.**6.5**Apply Other Angle Relationships J The tangent GF and the secant GJ intersect outside the circle. H G F Find an angle measure outside a circle Example 3 Find the value of x. Solution**6.5**Apply Other Angle Relationships G H J F K Checkpoint. Find the value of y.**6.5**Apply Other Angle Relationships Pg. 225, 6.5 #1-23