Advertisements
Advertisements
प्रश्न
Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =
विकल्प
115°
120°
125°
135°
Advertisements
उत्तर
We know that the diagonals of a parallelogram bisect each other.
Thus, the given quadrilateral ABCD is a parallelogram.
∠A = 45° and ∠B are consecutive interior angles, which must be supplementary.
Therefore, we have
∠A + ∠B = 180°
45° +∠B = 180°
∠B = 180°- 45°
∠B = 135°
Hence the correct choice is (d).
APPEARS IN
संबंधित प्रश्न
ABCD is a rhombus. Show that diagonal AC bisects ∠A as well as ∠C and diagonal BD bisects ∠B as well as ∠D.
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 sides of a quadrilateral are equal it is a parallelogram.
If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.
The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?
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?
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a
ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCDrespectively, then EF =
