Question

What is mZD? *
B
50°
F
250
Ε
650
А.

Answer 1

`m\angle D = 40\degree`

Explanation:

`m\angle DEC = 25\degree`

(Vertical angles)

`m\angle DCE = 180\degree - 65\degree`

(Linear pair angles)

`m\angle DCE = 115\degree`

In
`\triangle DCE`

By interior angle sum postulate of a triangle

`m\angle D = 180\degree-(115\degree + 25\degree)`

`m\angle D = 180\degree-140\degree`

`m\angle D = 40\degree`