what is the measure of $\angle srt$?

not drawn to scale

$69^\circ$
$79^\circ$
$89^\circ$
$101^\circ$

Question

what is the measure of $\angle srt$?

not drawn to scale

$69^\circ$
$79^\circ$
$89^\circ$
$101^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Angle Sum Theorem" ], "new_concepts": [], "current_concepts": [ "Triangle Angle Sum Theorem" ] } ## Identify the given angles in the triangle $$ \begin{aligned} &m\angle RST = 53^\circ\ &m\angle STR = 48^\circ \end{aligned} $$ ## Apply the Triangle Angle Sum Theorem $$ \begin{aligned} &m\angle SRT + m\angle RST + m\angle STR = 180^\circ\ &m\angle SRT + 53^\circ + 48^\circ = 180^\circ \end{aligned} $$ ## Solve for the unknown angle $$ \begin{aligned} &m\angle SRT + 101^\circ = 180^\circ\ &m\angle SRT = 180^\circ - 101^\circ\ &m\angle SRT = 79^\circ \end{aligned} $$

(A) $69^\circ$

(B) $79^\circ$

(C) $99^\circ$

(D) $101^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Angle Sum Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given angles in the triangle

Apply the Triangle Angle Sum Theorem

Solve for the unknown angle

Answer: