Question

Based on the given information, find the measure

of arc DC. (Hint: Try to find angle DBC first.)

Answer 1

122degrees

Explanation:

Since triangle BDC is a triangle, hence;

49 + 70 + <DBC = 180

<DBC = 180 - (70+49)

<DBC = 180 - 119

<DBC = 61

Since angle at the vertex is half the angle of its intercepted arc, then;

<DBC = 1/2 x

61 = 1/2 x

x = 61 * 2

x = 122degrees

Hence the measure of arcDC is 122degrees