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What is an angle that is adjacent to DEA?

What is an angle that is adjacent to DEA?-example-1
User AndrewGB
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1 Answer

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Answer:


\large\boxed{\tt \angle CEA, \ and \ \angle BEA.}

Explanation:


\textsf{We are asked for an angle that is \underline{Adjacent} to} \ \tt \angle DEA.


\large\underline{\textsf{What are Adjacent Angles?}}


\textsf{Adjacent Angles are 2 angles that share a common vertex, and line segment (arm).}


\textsf{Adjacent Angle don't overlap, however they can be any measure as long as they're}


\textsf{angles. \textsf{Note that Adjacent Angles are mainly identified as angles next to each other.}}


\large\underline{\textsf{Identifying the Adjacent Angle(s);}}


\textsf{Remember that Adjacent Angles don't overlap, which means that} \ \tt \angle DEC \ \textsf{is incorrect.}


\tt \angle BEC \ \ \textsf{doesn't share a common line segment with} \ \tt \angle DEA, \ \textsf{hence that angle is incorrect.}


\textsf{Adjacent Angles don't overlap, hence} \ \tt \angle DEB \ \textsf{is incorrect.}


\underline{\textsf{We are left with 2 options;}}


  • \tt \angle CEA

  • \tt \angle BEA


\underline{\textsf{Why are they both correct?}}


\textsf{These 2 angles both qualify as Adjacent to} \ \tt \angle DEA. \ \textsf{Both angles share a common}


\textsf{side, a common vertex, and both angles don't overlap with} \ \tt \angle DEC. \ \textsf{This means that}


\textsf{there are 2 correct options for this problem.}


\large\underline{\textsf{Hence;}}


\large\boxed{\tt \angle CEA, \ and \ \angle BEA.}

User Nicolee
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