a quilt is designed using a square pattern. each square contains two rectangles. each rectangle contains a shaded rhombus.

what is the value of (x)?

50
55
125
145

Question

a quilt is designed using a square pattern. each square contains two rectangles. each rectangle contains a shaded rhombus.

what is the value of (x)?

50
55
125
145

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Properties of Quadrilaterals" ], "new_concepts": [ "Rhombus Angle Properties" ], "current_concepts": [ "Properties of Quadrilaterals", "Rhombus Angle Properties" ] } ## Identify the relationship between consecutive angles of a rhombus $$ \begin{aligned} &\text{Consecutive angles of a rhombus are supplementary:}\ &50^\circ + (2x + 20)^\circ = 180^\circ \end{aligned} $$ ## Solve the linear equation for x $$ \begin{aligned} &2x + 70 = 180\ &2x = 110\ &x = 55 \end{aligned} $$

50

55

125

145

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Properties of Quadrilaterals" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the relationship between consecutive angles of a rhombus

Solve the linear equation for x

Answer: