Question

What type of angle is ​ ∠DEA ​ ?

straight

acute

obtuse

right

Answer 1

Below is my answer :)

Answer 2

C. Obtuse.

Explanation:

We have been given a diagram. We are asked to find the type of angle DEA.

We can see that angle DEA and angle CEA forms a linear pair of angle, so they are supplementary. We can represent this information in an equation as:

`m\angle DEA+m\angle CEA=180^(\circ)`

`m\angle DEA+77^(\circ)=180^(\circ)`

`m\angle DEA+77^(\circ)-77^(\circ)=180^(\circ)-77^(\circ)`

`m\angle DEA=103^(\circ)`

Since measure of angle DEA is 103 degrees, therefore, angle DEA is an obtuse angle.