Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC = 35°, then ∠ABC =
विकल्प
70°
110°
90°
120°
Advertisements
उत्तर
ABCD is a parallelogram in which AC bisects ∠A.

It is given that ∠BAC = 35°
Therefore,
∠BAD = 2(∠BAC)
∠BAD = 2(35°)
∠BAD = 70°
Since, DC || AB
Therefore,
∠BAD + ∠ABC = 180°
70° +∠ABC = 180°
∠ABC = 110°
Hence, the correct choice is (b).
APPEARS IN
संबंधित प्रश्न
In a parallelogram ABCD, if `∠`B = 135°, determine the measures of its other angles .
In a ΔABC median AD is produced to X such that AD = DX. Prove that ABXC is a
parallelogram.
In Fig. below, AB = AC and CP || BA and AP is the bisector of exterior ∠CAD of ΔABC.
Prove that (i) ∠PAC = ∠BCA (ii) ABCP is a parallelogram

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
∠P = 100°, ∠Q = 80°, ∠R = 95°
The figure formed by joining the mid-points of the adjacent sides of a rhombus is a
P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. If AD = 10 cm, then CD =
In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B=
In the given figure, ∠A = 64°, ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ΔABC, find x° and y°
In the given Figure, if AB = 2, BC = 6, AE = 6, BF = 8, CE = 7, and CF = 7, compute the ratio of the area of quadrilateral ABDE to the area of ΔCDF. (Use congruent property of triangles)
Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.
