not drawn to scale

what is the measure of $\angle mrn$?

$3^\circ$
$5^\circ$
$18^\circ$
$28^\circ$

Question

not drawn to scale

what is the measure of $\angle mrn$?

$3^\circ$
$5^\circ$
$18^\circ$
$28^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Linear Pair", "Triangle Angle Sum Theorem" ], "new_concepts": [], "current_concepts": [ "Linear Pair", "Triangle Angle Sum Theorem" ] } ## Find the interior angle at vertex M Using the *Linear Pair* knowledge point $$ \begin{aligned} m\angle NMR + 115^\circ &= 180^\circ \ m\angle NMR &= 180^\circ - 115^\circ \ m\angle NMR &= 65^\circ \end{aligned} $$ ## Calculate the measure of angle MRN Using the *Triangle Angle Sum Theorem* knowledge point $$ \begin{aligned} m\angle NMR + m\angle MNR + m\angle MRN &= 180^\circ \ 65^\circ + 97^\circ + m\angle MRN &= 180^\circ \ 162^\circ + m\angle MRN &= 180^\circ \ m\angle MRN &= 180^\circ - 162^\circ \ m\angle MRN &= 180^\circ - 162^\circ = 18^\circ \end{aligned} $$

(A) $3^\circ$

(B) $5^\circ$

(C) $18^\circ$

(D) $28^\circ$

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

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QUESTION IMAGE

Question

Explanation:

Find the interior angle at vertex M

Calculate the measure of angle MRN

Answer: