what is the value of x in the diagram?
not drawn to scale
$52^\circ$
$64^\circ$
$128^\circ$
$138^\circ$

Question

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", "Supplementary Angles" ], "new_concepts": [ "Exterior Angle Theorem" ], "current_concepts": [ "Linear Pair", "Supplementary Angles", "Exterior Angle Theorem" ] } ## Identify the geometric relationship Using the *Linear Pair* and *Supplementary Angles* knowledge points $$ \angle EFD + \angle EFX = 180^\circ $$ ## Substitute the given values Using the *Supplementary Angles* knowledge point $$ \begin{aligned} &52^\circ + x = 180^\circ \end{aligned} $$ ## Solve for x Using the *Supplementary Angles* knowledge point $$ \begin{aligned} &x = 180^\circ - 52^\circ\ &x = 128^\circ \end{aligned} $$

(A) $52^\circ$

(B) $64^\circ$

(C) $128^\circ$

(D) $138^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Linear Pair" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the geometric relationship

Substitute the given values

Solve for x

Answer: