Advertisements
Advertisements
Question
In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.
Advertisements
Solution
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
RELATED QUESTIONS
The alongside figure shows a parallelogram ABCD in which AE = EF = FC.
Prove that:
- DE is parallel to FB
- DE = FB
- DEBF is a parallelogram.
In the given figure, ABCD is a parallelogram.
Prove that: AB = 2 BC.
Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM = CN. Prove that BMDN is a parallelogram.
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: QR = QT
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: RT bisects angle R
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: ∠RTS = 90°
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.
In a parallelogram ABCD, E is the midpoint of AB and DE bisects angle D. Prove that:CE is the bisector of angle C and angle DEC is a right angle
Which of the following statement is correct?
