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I REALY NEED HELP!

In kite ABCD, m∠ACD=82°. What is m∠DCE?
1.)41°
2.)82°
3.)90°
4.)98°

I REALY NEED HELP! In kite ABCD, m∠ACD=82°. What is m∠DCE? 1.)41° 2.)82° 3.)90° 4.)98°-example-1
User Karnyj
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2 Answers

6 votes
Since ACD is equal to 82, then DCE would equal 41. This is because it is half of 82.
User Zxcat
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3 votes

Answer:

(A)41°.

Explanation:

We know that in Kite, the diagonals are the angle bisectors, therefore

In Kite ABCD, m∠ACD=82°, thus


m{\angle}DCE=(1)/(2)m{\angle}ACD

Substituting the given value, we have


m{\angle}DCE=(1)/(2)(82^(\circ))


m{\angle}DCE=41^(\circ)

Therefore, the measure of m∠DCE is 41°.

Hence, option A is correct.

User Per Mildner
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