if $\angle efg$ and $\angle lmn$ are a linear pair, and $m\angle efg$ is equal to $134^{\circ}$, then what is $m\angle lmn$?

$m\angle lmn = ?^{\circ}$

Question

if $\angle efg$ and $\angle lmn$ are a linear pair, and $m\angle efg$ is equal to $134^{\circ}$, then what is $m\angle lmn$?

$m\angle lmn = ?^{\circ}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Pair Theorem", "Supplementary Angles" ], "current_concepts": [ "Linear Pair Theorem", "Supplementary Angles" ] } ## Set up the linear pair equation $$ \text{m}\angle EFG + \text{m}\angle LMN = 180^\circ $$ ## Substitute the given value and solve $$ \begin{aligned} 134^\circ + \text{m}\angle LMN &= 180^\circ \ \text{m}\angle LMN &= 180^\circ - 134^\circ \ \text{m}\angle LMN &= 46^\circ \end{aligned} $$ If $\angle EFG$ and $\angle LMN$ are a linear pair, and $\text{m}\angle EFG$ is equal to $134^\circ$, then what is $\text{m}\angle LMN$? $\text{m}\angle LMN =$ 46$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Linear Pair Theorem" ] }

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Question

Explanation:

Set up the linear pair equation

Substitute the given value and solve

Answer: