the measure of an angle is $158^{\circ}$. what is the measure of its supplementary angle?

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{ "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" ], "new_concepts": [], "current_concepts": [ "Supplementary Angles" ] } ## Identify the given angle measure The problem states that the measure of the given angle is $158^\circ$. ## Apply the definition of supplementary angles Using the *Supplementary Angles* knowledge point $$ \theta_1 + \theta_2 = 180^\circ $$ ## Calculate the supplementary angle measure Using the *Supplementary Angles* knowledge point $$ \begin{aligned} 158^\circ + x &= 180^\circ \ x &= 180^\circ - 158^\circ \ x &= 22^\circ \end{aligned} $$ The measure of an angle is 158°. What is the measure of its supplementary angle? 22° { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Supplementary Angles" ] }

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Question

Explanation:

Identify the given angle measure

Apply the definition of supplementary angles

Calculate the supplementary angle measure

Answer: