Question

What type of angle is ​ ∠DEA ​ ?


straight

acute

obtuse

right

Answer 1

Below is my answer :)

Answer 2

Answer:

C. Obtuse.

Step-by-step 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.