Question

In the quadrilateral ∠P:∠Q:∠R:∠S 3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other.
i) Is PS also parallel to QR?
ii) Assign a special name to quadrilateral PQRS.

Answer 1

Let 3 4 6 7 be 3x 4x 6x 7x
Total 20x
Total degree 360 x = 18
3 x =3 ×18
4x=4×18
6x=6×18
7x=7×18