Which of the following is the correct figure when you draw quadrilateral MN PQ, where
MN = 4 cm, NP = 8 cm, LMNP = 50°
, LNMQ = 130°
, and LNPQ = 50°?
To find the correct figure, we need to first draw a rough sketch based on the given measurements and angles:
1. Draw quadrilateral MNPQ with sides MN = 4 cm and NP = 8 cm.
2. Draw angle LMNP = 50° and angle LNMQ = 130°.
3. Draw angle LNPQ = 50°.
Based on the given measurements and angles, the correct figure would have MN parallel to PQ with the angles and lengths as follows:
- Angle LMNP = 50°
- Angle LNMQ = 130°
- Angle LNPQ = 50°
Since MN and PQ are parallel, angle LNMQ is the corresponding angle to LNPQ, making both angles equal to 130°. Therefore, the correct figure would have angles that sum up to 360°, which is a property of quadrilaterals. In this case, the angles add up to 280° (50° + 130° + 50° + 50°), so this figure is not possible with the given measurements and angles.