Advertisements
Advertisements
प्रश्न
In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.

Advertisements
उत्तर
We have, ABCD and AEFG are two parallelograms and ∠C = 55°.
Since, ABCD is a parallelogram, then opposite angles of a parallelogram are equal.
∠A = ∠C = 55° ...(i)
Also, AEFG is a parallelogram.
∴ ∠A = ∠F = 55° ...[From equation (i)]
APPEARS IN
संबंधित प्रश्न
E is the mid-point of side AB and F is the mid-point of side DC of parallelogram ABCD. Prove that AEFD is a parallelogram.
The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.
In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B.

Prove that:
- AQ = BP
- PQ = CD
- ABPQ is a parallelogram.
In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2 AD.
Prove that:
(i) BP bisects angle B.
(ii) Angle APB = 90o.
ABCD is a parallelogram. The bisector of ∠BAD meets DC at P, and AD is half of AB.
Prove that: BP bisects ∠ABC.
ABCD is a parallelogram. The bisector of ∠BAD meets DC at P, and AD is half of AB.
Prove that: ∠APB is a right angle.
In the given figure, MP is the bisector of ∠P and RN is the bisector of ∠R of parallelogram PQRS. Prove that PMRN is a parallelogram.
Find the perimeter of the parallelogram PQRS.

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

Construct a parallelogram POUR in which, PO = 5.5 cm, OU = 7.2 cm and ∠O = 70°.
