yolanda is making a banner for a school pep rally. she cuts fabric in the shape of a parallelogram. the angle at the bottom-left corner measures $80^{\circ}$.

what is the value of $x$?

40
50
100
160

Question

yolanda is making a banner for a school pep rally. she cuts fabric in the shape of a parallelogram. the angle at the bottom-left corner measures $80^{\circ}$.

what is the value of $x$?

40
50
100
160

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": [ "Parallelogram Angle Properties" ], "new_concepts": [], "current_concepts": [ "Parallelogram Angle Properties", "Properties of Parallelograms" ] } ## Identify the given geometric properties Using the *Parallelogram Angle Properties* knowledge point $$ \begin{aligned} &\text{Shape: Parallelogram}\ &\angle_{\text{bottom-left}} = 80^\circ\ &\angle_{\text{top-left}} = x^\circ \end{aligned} $$ ## Apply consecutive interior angles theorem Using the *Parallelogram Angle Properties* knowledge point $$ \begin{aligned} &x + 80 = 180\ &x = 100 \end{aligned} $$

(A) 40

(B) 50

(C) 100

(D) 160

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallelogram Angle Properties" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given geometric properties

Apply consecutive interior angles theorem

Answer: