1. Warm up

2. If all the vertices of a polygon touch the edge of the circle, the polygon is INSCRIBED and the circle is CIRCUMSCRIBED.

3. a quadrilateral inscribed in a circle: opposite angles are supplementary.

4. If a right triangle is inscribed in a circle then the hypotenuse is the diameter of the circle.

5. x = 3 In J, m<3 = 5x and m<4 = 2x + 9. Example 3
Find the value of x. 3 Q D J T U 4
x = 3

6. Example 4
In K, GH is a diameter and m<GNH = 4x – 14. Find the value of x.
4x – 14 = 90 H K G N
x = 26
Bonus: What type of triangle is this? Why?

7. y = 70 z = 95 110 + y =180 z + 85 = 180 Example 5 Find y and z. z 110