find the measure of $\angle x$.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Vertical Angles", "Triangle Angle Sum Theorem" ], "new_concepts": [ "Exterior Angle Theorem" ], "current_concepts": [ "Vertical Angles", "Triangle Angle Sum Theorem", "Angles on a Straight Line" ] } ## Identify vertical angles Using the *Vertical Angles* knowledge point $$ \angle \text{vertical to } 28^\circ = 28^\circ $$ ## Apply triangle angle sum Using the *Triangle Angle Sum Theorem* knowledge point $$ \begin{aligned} \text{Third angle in triangle} &= 180^\circ - 56^\circ - 28^\circ \ &= 96^\circ \end{aligned} $$ ## Find supplementary angle x Using the *Angles on a Straight Line* knowledge point $$ \begin{aligned} x &= 180^\circ - 96^\circ \ &= 84^\circ \end{aligned} $$ $x = 84^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Angle Sum Theorem" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify vertical angles

Apply triangle angle sum

Find supplementary angle x

Answer: