find $m\angle efy$ if $m\angle efg = 74^{\circ}$ and $m\angle yfg = 20^{\circ}$

$m\angle efy =$

Question

find $m\angle efy$ if $m\angle efg = 74^{\circ}$ and $m\angle yfg = 20^{\circ}$

$m\angle efy =$

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": [ "Angle Addition Postulate" ], "current_concepts": [ "Angle Addition Postulate", "Rays and Segments" ] } ## Identify the given angle measures $$ \begin{aligned} m\angle EFG &= 74^\circ \ m\angle YFG &= 20^\circ \end{aligned} $$ ## Apply the Angle Addition Postulate $$ \begin{aligned} m\angle EFY + m\angle YFG &= m\angle EFG \ m\angle EFY + 20^\circ &= 74^\circ \end{aligned} $$ ## Solve for the unknown angle $$ \begin{aligned} m\angle EFY &= 74^\circ - 20^\circ \ m\angle EFY &= 54^\circ \end{aligned} $$ Find $m\angle EFY$ if $m\angle EFG = 74^\circ$ and $m\angle YFG = 20^\circ$. $m\angle EFY =$ $54^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Angle Addition Postulate" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given angle measures

Apply the Angle Addition Postulate

Solve for the unknown angle

Answer: