find the measure of $\angle x$
$\angle x = \box^{\circ}$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Angles on a Straight Line", "Vertical Angles" ], "new_concepts": [ "Adjacent Angles" ], "current_concepts": [ "Angles on a Straight Line", "Vertical Angles", "Adjacent Angles" ] } ## Identify the geometric relationships Using the *Vertical Angles* knowledge point $$ \text{The angle vertical to the } 31^\circ \text{ angle is also } 31^\circ. $$ ## Apply straight line angle sum Using the *Angles on a Straight Line* knowledge point $$ \begin{aligned} &59^\circ + 31^\circ + x = 180^\circ\ &90^\circ + x = 180^\circ\ &x = 90^\circ \end{aligned} $$ ## Find the measure of angle x Using the *Angles on a Straight Line* knowledge point $$ \angle x = 180^\circ - 59^\circ - 31^\circ = 90^\circ $$ Find the measure of $\angle x$ $\angle x =$ $90^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Angles on a Straight Line" ] }

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Question

Explanation:

Identify the geometric relationships

Apply straight line angle sum

Find the measure of angle x

Answer: