which angle is adjacent to $\angle 6$?

$\angle 3$
$\angle 2$
$\angle 4$
$\angle 5$

Question

which angle is adjacent to $\angle 6$?

$\angle 3$
$\angle 2$
$\angle 4$
$\angle 5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Adjacent Angles" ], "new_concepts": [], "current_concepts": [ "Adjacent Angles", "Angle Notation" ] } ## Identify the definition of adjacent angles Adjacent angles are two angles that share a common vertex and a common side, but do not overlap. ## Analyze the angles adjacent to $\angle 6$ Looking at the diagram, $\angle 6$ is formed by the upward vertical ray and the right-upward slanted ray. - The angle sharing the upward vertical ray is $\angle 5$. - The angle sharing the right-upward slanted ray is $\angle 1$. Therefore, the adjacent angles to $\angle 6$ are $\angle 5$ and $\angle 1$. ## Match with the given options The options provided are: - $\angle 3$ - $\angle 2$ - $\angle 4$ - $\angle 5$ Comparing our adjacent angles ($\angle 5$ and $\angle 1$) with the choices, $\angle 5$ is the correct option.

$\angle 3$

$\angle 2$

$\angle 4$

$\angle 5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Adjacent Angles" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the definition of adjacent angles

Analyze the angles adjacent to \(\angle 6\)

Match with the given options

Answer: