defg is an isosceles trapezoid. find the measure of $\angle e$.

a. $95^\circ$
b. $85^\circ$
c. $105^\circ$
d. $75^\circ$

Question

defg is an isosceles trapezoid. find the measure of $\angle e$.

a. $95^\circ$
b. $85^\circ$
c. $105^\circ$
d. $75^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Isosceles Trapezoid Properties", "Consecutive Interior Angles" ], "new_concepts": [], "current_concepts": [ "Isosceles Trapezoid Properties", "Consecutive Interior Angles" ] } ## Identify the properties of the isosceles trapezoid $$ \begin{aligned} &EF \parallel DG \ &DE = FG \ &m\angle E = m\angle F \ &m\angle D = m\angle G \end{aligned} $$ ## Determine the measure of angle E $$ \begin{aligned} &m\angle F = 75^\circ \ &m\angle E = m\angle F = 75^\circ \end{aligned} $$

A. $95^\circ$

B. $85^\circ$

C. $105^\circ$

D. $75^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Isosceles Trapezoid Properties" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the properties of the isosceles trapezoid

Determine the measure of angle E

Answer: