Arcs Chords and Inscribed Angles

20⁰

40⁰

60⁰

80⁰

44⁰

88⁰

92⁰

184⁰

5⁰

50⁰

65⁰

115⁰

41⁰

82⁰

123⁰

164⁰

The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs.

Angles that are opposite each other and formed by two intersecting straight lines, are congruent.

If a quadrilateral is inscribed in a circle, then its opposite angles add up to 180⁰

The measure of an inscribed angle is equal to half the measure of its intercepted arc.

The endpoints of a diameter lie on an inscribed angle if & only if they inscribed angle is 90⁰

116

117

118

119

$$80\degree$$

$$200\degree$$

$$54\degree$$

$$160\degree$$

12

53

96

90

a=74 degrees b=93 degrees

a=93 degrees b=74 degrees

a=87 degrees b=106 degrees

a=106 degrees b=87 degrees

$$17\degree$$

$$34\degree$$

$$68\degree$$

$$146\degree$$