7 one angle of a parallelogram is $62^{\circ}$. work out the size of the other three angles.

challenge
8 calculate the value of $x$.

Question

7 one angle of a parallelogram is $62^{\circ}$. work out the size of the other three angles.

challenge
8 calculate the value of $x$.

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inverse Operations", "Arithmetic Relationships" ], "new_concepts": [ "Parallelogram Angle Properties", "Angles Around a Point" ], "current_concepts": [ "Parallelogram Angle Properties", "Angles Around a Point", "Inverse Operations", "Arithmetic Relationships" ] } ## Question 7: Calculate the remaining angles of the parallelogram $$ \begin{aligned} &\text{Opposite angle} = 62^\circ\ &\text{Consecutive angle } 1 = 180^\circ - 62^\circ = 118^\circ\ &\text{Consecutive angle } 2 = 118^\circ \end{aligned} $$ ## Question 8: Calculate the value of $x$ using angles around a point $$ \begin{aligned} &95^\circ + 125^\circ + x = 360^\circ\ &220^\circ + x = 360^\circ\ &x = 360^\circ - 220^\circ = 140^\circ \end{aligned} $$ ## Question 7 The other three angles are $62^\circ$, $118^\circ$, and $118^\circ$. ## Question 8 $x = 140$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Geometry", "Angles and Polygons" ] }

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Question

Explanation:

Question 7: Calculate the remaining angles of the parallelogram

Question 8: Calculate the value of \(x\) using angles around a point

Answer:

Question 7

Question 8