Question

I REALY NEED HELP!

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

Answer 1

Since ACD is equal to 82, then DCE would equal 41. This is because it is half of 82.

Answer 2

(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.