What type of angle is ​ ∠dea ​ ? straight acute obtuse right

2 answers
Question:

What type of angle is ​ ∠dea ​ ? straight acute obtuse right

Answers

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:

[tex]m\angle DEA+m\angle CEA=180^{\circ}[/tex]

[tex]m\angle DEA+77^{\circ}=180^{\circ}[/tex]

[tex]m\angle DEA+77^{\circ}-77^{\circ}=180^{\circ}-77^{\circ}[/tex]

[tex]m\angle DEA=103^{\circ}[/tex]

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

Below is my answer :)
[tex]What type of angle is ​ ∠dea ​ ? straight acute obtuse right[/tex]

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