find the measure of $\angle x$.

$m\angle x = \boxed{\quad}^\circ$

Question

find the measure of $\angle x$.

$m\angle x = \boxed{\quad}^\circ$

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": [ "Supplementary Angles", "Vertical Angles", "Triangle Angle Sum Theorem" ], "new_concepts": [], "current_concepts": [ "Supplementary Angles", "Vertical Angles", "Triangle Angle Sum Theorem" ] } ## Find the first interior angle of the triangle Using the *Supplementary Angles* knowledge point $$ \begin{aligned} &\theta_1 + 131^\circ = 180^\circ \ &\theta_1 = 180^\circ - 131^\circ = 49^\circ \end{aligned} $$ ## Find the second interior angle of the triangle Using the *Vertical Angles* knowledge point $$ \theta_2 = 35^\circ $$ ## Find the third interior angle of the triangle Using the *Triangle Angle Sum Theorem* knowledge point $$ \begin{aligned} &\theta_3 + \theta_1 + \theta_2 = 180^\circ \ &\theta_3 + 49^\circ + 35^\circ = 180^\circ \ &\theta_3 + 84^\circ = 180^\circ \ &\theta_3 = 96^\circ \end{aligned} $$ ## Solve for the measure of angle x Using the *Vertical Angles* knowledge point $$ \begin{aligned} &x = \theta_3 \ &x = 96^\circ \end{aligned} $$ Find the measure of $\angle x$. $m\angle x =$ $96$$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Angle Sum Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Find the first interior angle of the triangle

Find the second interior angle of the triangle

Find the third interior angle of the triangle

Solve for the measure of angle x

Answer: