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What is the measure of DE?

51
56
68
85​

What is the measure of DE? 51 56 68 85​-example-1
User Edufinn
by
6.8k points

1 Answer

6 votes

Answer:

Option 3 is right

68 is the answer.

Explanation:

Given is a circle with some points A, B, C, D and E

We have to find measure of arc DE

We find that angle of arc DE = angle DOE

and angle of arc DC = DOC =112

DOE and DOC are supplementary angles since they form a linear pair on the straight line EOC

Hence angle DOE = 180-112 = 68

Thus angle of arc DE is the angle that DE subtends at the centre of circle =

DOE = 68

Option 3 is correct

User Vladimir Djukic
by
7.6k points