Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Advertisements
उत्तर
\[\text{ Opposite angles of a parallelogram are equal } . \]
\[ \therefore \angle C = 70° = \angle A . \]
\[ \angle B = \angle D\]
\[\text{ Also, the sum of the adjacent angles of a parallelogram is } 180°. \]
\[ \therefore \angle A + \angle B = 180°\]
\[70° + \angle B = 180°\]
\[\angle B = 110°\]
\[ \therefore \angle B = 110°, \angle C = 70°\text{ and } \angle D = 110°\]
संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

The measure of one angle of a parallelogram is 70°. What are the measures of the remaining angles?
Which of the following statement is true for a rhombus?
It has two pairs of equal sides.
Fill in the blank, inthe following, so as to make the statement true:
A rhombus has all its sides of ...... length.
Fill in the blank, in each of the following, so as to make the statement true:
If the diagonals of a parallelogram bisect each other at right angles, then it is a ......
The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.
ABCD is a rhombus. If ∠ACB = 40°, find ∠ADB.
In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.
State with reason whether the following statement is ‘true’ or ‘false’.
Every parallelogram is a rhombus.
A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ______.
