guided example 2

find $x$.

the interior angle and the exterior angle make a linear pair.

the interior angle is a right angle, so the measure of its exterior angle is $^{\circ}$.

Question

guided example 2

find $x$.

the interior angle and the exterior angle make a linear pair.

the interior angle is a right angle, so the measure of its exterior angle is  $^{\circ}$.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Pair Theorem", "Exterior Angles of Polygons" ], "current_concepts": [ "Linear Pair Theorem", "Exterior Angles of Polygons" ] } ## Identify the relationship between the interior and exterior angle $$ \text{Interior Angle} + \text{Exterior Angle} = 180^\circ $$ ## Substitute the given interior angle value $$ \begin{aligned} \text{Interior Angle} &= 90^\circ \ 90^\circ + x^\circ &= 180^\circ \end{aligned} $$ ## Solve for the exterior angle measure $$ x = 180 - 90 = 90 $$ The interior angle is a right angle, so the measure of its exterior angle is 90$^\circ$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Linear Pair Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the relationship between the interior and exterior angle

Substitute the given interior angle value

Solve for the exterior angle measure

Answer: