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Draw a rough figure of a quadrilateral t...

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

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To solve the question of drawing a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Properties of Quadrilaterals**: - A quadrilateral is a four-sided figure. - A parallelogram has opposite sides that are equal and parallel, and opposite angles that are equal. 2. **Identify the Requirements**: - We need a quadrilateral that is not a parallelogram. - It must have exactly two opposite angles that are equal. 3. **Choose a Suitable Quadrilateral**: - A kite is a good choice because it has one pair of opposite angles that are equal, while the other pair is not necessarily equal. 4. **Draw the Kite**: - Start by drawing two equal-length sides that meet at a vertex. Label the vertices as A and B. - From point A, draw another side (AC) that is not equal to AB. - From point B, draw a side (BD) that is equal in length to AC but does not create parallel sides with AB. - Connect points C and D to complete the quadrilateral ABCD. 5. **Label the Angles**: - Assume angle A and angle C are equal (let's say both are 110 degrees). - The angles B and D will be different from A and C, ensuring that we have exactly two opposite angles that are equal. 6. **Final Check**: - Verify that the figure does not have parallel sides and that it meets the requirement of having exactly two opposite angles equal. ### Final Figure: The rough figure of the kite (quadrilateral ABCD) should look something like this: ``` B / \ / \ A-----D \ / \ / C ```
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