Advertisements
Advertisements
प्रश्न
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Advertisements
उत्तर
\[\text{ Opposite angles of a parallelogram are equal } . \]
\[ \therefore \angle C = 70° = \angle A . \]
\[ \angle B = \angle D\]
\[\text{ Also, the sum of the adjacent angles of a parallelogram is } 180°. \]
\[ \therefore \angle A + \angle B = 180°\]
\[70° + \angle B = 180°\]
\[\angle B = 110°\]
\[ \therefore \angle B = 110°, \angle C = 70°\text{ and } \angle D = 110°\]
APPEARS IN
संबंधित प्रश्न
In a parallelogram ABCD, ∠D = 135°, determine the measure of ∠A and ∠B.
The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram.
Which of the following statement is true for a rhombus?
It has two pairs of equal sides.
Which of the following statement is true for a rhombus?
It is a quadrilateral.
Fill in the blank, in the following, so as to make the statement true:
A rhombus is a parallelogram in which ......
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 rhombus is a rectangle.
Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.
In rhombus ABCD;
(i) if ∠A = 74° ; find ∠B and ∠C.
(ii) if AD = 7.5 cm ; find BC and CD.
In a rhombus diagonals intersect at ______ angles.
