question 3 of 10

in the diagram below, $\odot o$ is circumscribed about quadrilateral $defg$. what is the value of $x$?

a. $119^\circ$
b. $90^\circ$
c. $59^\circ$
d. $61^\circ$

Question

question 3 of 10

in the diagram below, $\odot o$ is circumscribed about quadrilateral $defg$. what is the value of $x$?

a. $119^\circ$
b. $90^\circ$
c. $59^\circ$
d. $61^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inscribed Quadrilateral Theorem" ], "new_concepts": [], "current_concepts": [ "Inscribed Quadrilateral Theorem", "Circle Theorems" ] } ## Identify the relationship between opposite angles $$ \angle E + \angle G = 180^\circ $$ ## Substitute the given values and solve for x $$ \begin{aligned} 119^\circ + x^\circ &= 180^\circ \ x &= 180 - 119 \ x &= 61 \end{aligned} $$

A. $119^\circ$

B. $90^\circ$

C. $59^\circ$

D. $61^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Quadrilateral Theorem" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the relationship between opposite angles

Substitute the given values and solve for x

Answer: