Advertisements
Advertisements
प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Advertisements
उत्तर
\[\text{ Opposite angles are equal in a parallelogram } . \]
\[ \therefore y = 80°\]
\[y + x = 180° \]
\[x = 180° - 100°= 80°\]
\[z = y = 80° (\text{ alternate angles })\]
संबंधित प्रश्न
Two opposite angles of a parallelogram are (3x − 2)° and (50 − x)°. Find the measure of each angle of the parallelogram.
In the following Figure ABCD is a arallelogram, CE bisects ∠C and AF bisects ∠A. In each of the following, if the statement is true, give a reason for the same:

(i) ∠A = ∠C
(ii) \[\angle FAB = \frac{1}{2}\angle A\]
(iii) \[\angle DCE = \frac{1}{2}\angle C\]
(iv) \[\angle CEB = \angle FAB\]
(v) CE || AF
In a parallelogram ABCD, AB = 10 cm, AD = 6 cm. The bisector of ∠A meets DC in E, AEand BC produced meet at F. Find te length CF.
Which of the following statement is true for a rhombus?
It has only two pairs of equal sides.
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 ......
Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.
ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.
In rhombus ABCD;
(i) if ∠A = 74° ; find ∠B and ∠C.
(ii) if AD = 7.5 cm ; find BC and CD.
If the adjacent sides of a parallelogram are equal then parallelogram is a ______.
If a diagonal of a quadrilateral bisects both the angles, then it is a ______.
