Warm up NL and KM are diameters.

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Warm up NL and KM are diameters. 30 80 100 180 100 260

Review HW

Skills Check

Inscribed Angles and Inscribed Quadrilaterals

Wheel of Formulas!!

Central Angle Angle = Arc

Inscribed Angle Angle where the vertex is ON the circle

Inscribed Angle

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Find the measure of DOG and DIG 72˚ If two inscribed angles intercept the same arc, then they are congruent. G O I

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

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 4x = 104 x = 26

Example 5 Solve for x and z. 85 2x +18 + 22x – 6 = 180 24x +12 = 180 22x – 6 24x = 168 x = 7 z + 85 = 180 z = 95

CW / HW Practice Workhseet