find the measure of $\angle x$.

now that $\angle a$ and $\angle b$ have been determined, find $\angle c$.

Question

find the measure of $\angle x$.

now that $\angle a$ and $\angle b$ have been determined, find $\angle c$.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Vertical Angles", "Angles on a Straight Line" ], "new_concepts": [], "current_concepts": [ "Vertical Angles", "Angles on a Straight Line", "Adjacent Angles" ] } ## Identify vertical angles Using the *Vertical Angles* knowledge point $$ \angle \text{opposite to } 27^\circ = 27^\circ $$ ## Apply straight line angle sum Using the *Angles on a Straight Line* knowledge point $$ \begin{aligned} &58^\circ + 27^\circ + x = 180^\circ\ &85^\circ + x = 180^\circ\ &x = 95^\circ \end{aligned} $$ Find the measure of $\angle x$. $\angle x =$ $95^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Angles on a Straight Line" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify vertical angles

Apply straight line angle sum

Answer: