What type of angle is ∠DEA ? straight acute obtuse right

Mathematics

2 answers:

solmaris [256]3 years ago

7 0

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.

Katena32 [7]3 years ago

6 0

Below is my answer :)

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