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

Solution:

From the figure,

ABCD and AEFG are two parallelograms

AD or AG and AB or AE are the two sides which are sharing

∠C = 55º

As the opposite angles of a parallelogram are equal

∠F = ∠A

∠A = ∠C

So we get

∠F = ∠C

As ∠C = 55º, ∠F = 55º

Therefore, ∠F = 55º.

✦ Try This: PQRS and PTUV are two parallelograms. If ∠R = 45º, determine ∠U.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8

NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 10

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

Summary:

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. In Fig.8.2, ABCD and AEFG are two parallelograms. If ∠C = 55º, ∠F = 55º

☛ Related Questions:

• Can all the angles of a quadrilateral be acute angles? Give reason for your answer
• Can all the angles of a quadrilateral be right angles? Give reason for your answer
• Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B