9.7. Angles On and Inside a Circle http://www.ck12.org
- xis supplementary to the angle that the average of the given intercepted arcs. We will call this supplementary
angley.
y=^19
◦+ 107 ◦
2 =
126 ◦
2 =^63
◦This means thatx= 117 ◦; 180◦− 63 ◦Practice
Find the value of the missing variable(s).
1.
2.
3.
4.
5.
6.
7.y 6 = 60 ◦Solve forx.
8.
9.
10.
11.- Prove the Intersecting Chords Angle Theorem.
Given: Intersecting chordsACandBD.
Prove:m^6 a=^12
(
mDĈ+mAB̂)
Fill in the blanks.
- If the vertex of an angle is __ a circle, then its measure is the average of the -
_____ arcs. - If the vertex of an angle is ____ a circle, then its measure is __ the intercepted arc.
- Can two tangent lines intersect inside a circle? Why or why not?