Q10 of 56 Page 75

In Fig.8.2, ABCD and AEFG are two parallelograms. If C = 55°, determine F.

Given: C = 55°


Opposite angles of a parallelogram are equal


∵ ABCD is a parallelogram


∴ ∠A = ∠C = 55°


Also,


∵ AEFG is a parallelogram


∴ ∠F = ∠A = 55°


Hence, ∠F = 55°.


More from this chapter

All 56 →
8

In ∆ABC, AB = 5 cm, BC = 8 cm and CA = 7 cm. If D and E are respectively the mid-points of AB and BC, determine the length of DE.

 9

In Fig.8.1, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not?

 11

Can all the angles of a quadrilateral be acute angles? Give reason for your answer.

 12

Can all the angles of a quadrilateral be right angles? Give reason for your answer.