Question

if AB is parallel to CD.,<MPB=120° and <CQM=55° Find <pqm​

Answer 1

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

Step-by-step explanation:

Angle 2 = Angle 6 ( corresponding angle)

120 +X = 6x

on solving

x =24

Angle 2 = 120 +24 =144

Angle 6= 6 x 24 = 144

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Answer 2

Angle PQM = 180°

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• If you think my answer is Wrong then attach the figure of this Question.

Properties Of Some Quadrilateral

• 1. Sum of the angles of a quadrilateral is 360°.

• 2. A diagonal of a parallelogram divides it into two congruent triangles.

• 3. Two opposite angles of a parallelogram are equal.

• 4. The diagonals of a parallelogram bisect each other.

• 5. Ina parallelogram, the bisectors of any two consecutive angles intersect at right anol .

• 6. If a diagonal of a parallelogram bisects one of the angles of the parallelogram it aln bisects the second angle.

• 7. The angles bisectors of a parallelogram form a rectangel.

• 8. A quadrilateral is a parallelogram iff its opposite sides are equal.

• 9. A quadrilateral is a parallelogram iff its opposite angles are equal.

• 10. The diagonals of a quadrilateral bisect each other, iff it is a parallelogram.

• 11. A quadrilateral is a parallelogram if its one pair of opposite sides are equal and parallel.

• 12. Each of the four angles of a rectangle is a right angle.

• 13. Each of the four sides of a rhombus of the same length.

• 14. The diagonals of a rectangle are of equal length.

• 15. Diagonals of a parallelogram are equal if and only if it is a rectangle.

• 16. The diagonals of a rhombus are perpendicular to each other.

• 17. Diagonals of a parallelogram are perpendicular if and only if it is a rhombus.

• 18. The diagonals of a square are equal and perpendicular to each other.

• 19. If the diagonals of a parallelogram are equal and intersect at right angles, then it is a square.

• 20. The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.

• 21. A line through the mid-point of a side of a triangle parallel to another side bisects the third side.

• 22. The quadrilateral formed by joining the mid-points of the sides of a order, is a parallelogram. quadrilateral, in.