Advertisements
Advertisements
प्रश्न
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
Advertisements
उत्तर
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
संबंधित प्रश्न
The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see the given figure). Show that
(i) Quadrilateral ABED is a parallelogram
(ii) Quadrilateral BEFC is a parallelogram
(iii) AD || CF and AD = CF
(iv) Quadrilateral ACFD is a parallelogram
(v) AC = DF
(vi) ΔABC ≅ ΔDEF.
The following statement are true and false .
In a parallelogram, the diagonals are equal
The following statement are true and false .
In a parallelogram, the diagonals intersect each other at right angles .
The following statement are true and false .
If all the sides of a quadrilateral are equal it is a parallelogram.
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?
∠P =85°, ∠Q = 85°, ∠R = 95°
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
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
