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91Ó°ÊÓ

Given the diagram, state whether you can reach the conclusion shown.

∠AOEand∠AOD are adjacent angles.

Short Answer

Expert verified

We cannot conclude that ∠AOEand ∠AODare adjacent angles.

Step by step solution

01

Step 1. Observe the given diagram.

02

Step 2. Highlight ∠AOE and ∠AOD in the given diagram.

03

Step 3. Explain whether you can reach the given conclusion.

Two angles in a plane that have a common vertex and a common side but no common interior points are called adjacent angles.∠AOE is a subset of ∠AODand point E is in the interior region of ∠AOEand ∠AOD. Therefore, ∠AOEand ∠AODare not adjacent angles even though they have a common vertex point O and common ray OA.

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