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Based on the given information, find the measure

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

Based on the given information, find the measure of arc DC. (Hint: Try to find angle-example-1

1 Answer

3 votes

Answer:

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

User Akrohit
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