Advertisements
Advertisements
Question
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
Advertisements
Solution
ABCD and AEFG are two parallelograms as shown below:
Since ABCD is a parallelogram, with ∠C = 58°
We know that the opposite angles of a parallelogram are equal.
Therefore,
∠A = ∠C
∠A = 58°
Similarly, AEFG is a parallelogram, with ∠A = 58°
We know that the opposite angles of a parallelogram are equal.
Therefore,
∠F = ∠C
∠F = 58°
Hence, the required measure for ∠F is 58°.
APPEARS IN
RELATED QUESTIONS
The following statement are true and false.
In a parallelogram, the diagonals bisect each other.
The following statement are true and false .
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
The following statement are true and false .
If all the angles of a quadrilateral are equal, it is a parallelogram .
The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
If measures opposite angles of a parallelogram are (60 − x)° and (3x − 4)°, then find the measures of angles of the parallelogram.
Complete the following statement by means of one of those given in brackets against each:
If one angle of a parallelogram is a right angle, then it is necessarily a .................
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm
The bisectors of the angle of a parallelogram enclose a
The figure formed by joining the mid-points of the adjacent sides of a rectangle is a
ABCD is a parallelogram and E is the mid-point of BC. DE and AB when produced meet at F. Then, AF =
