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In the circle , mBC =38 and mAD =146
What is m

In the circle , mBC =38 and mAD =146 What is m-example-1

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Answer:

m<AED = 92°

Explanation:

It is given that,

measure of arc BC = 38° therefore m<BDC = 38/2 = 19°

measure of arc AD = 146° therefore m<ACD = 146/2 = 73°

To find the measure of <CED

Consider the ΔCDE

m<D = m<BDC = 19° and

m<C = m<ACD = 73°

By using angle sum property m<CED can be written as,

m<CED = 180 -( m<D + m<C )

= 180 - (19 + 73)

= 180 - 92

= 88°

To find the measure of <AED

<AED and <CED are linear pair

m<AED + m<CED = 180

m<AED = 180 - m<CED

= 180 - 88

= 92°

Therefore m<AED = 92°

User Dharmang
by
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