What type of angle is ∠dea ? straight acute obtuse right
2 answers
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.
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[tex]What type of angle is ∠dea ? straight acute obtuse right[/tex]
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