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

Advertisements
उत्तर
\[\text{ Sum of all angles in a triangle is } {180}^° . \]
\[ \therefore 30° + 90° + z = 180°\]
\[z = 60°\]
\[\text{ Opposite angles are equal in parallelogram } . \]
\[ \therefore y = z = 60°\]
\[\text{ and } x = 30° (\text{ alternate angles })\]
APPEARS IN
संबंधित प्रश्न
Name the quadrilaterals whose diagonals are perpendicular bisectors of each other
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Can the following figure be parallelogram. Justify your answer.

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.
The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides 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
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
Which of the following statement is true for a rectangle?
Its diagonals are equal and bisect each other.
A Rangoli has been drawn on a flor of a house. ABCD and PQRS both are in the shape of a rhombus. Find the radius of semicircle drawn on each side of rhombus ABCD.

ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus.
Hint: Join BD. Then ∆ABD is equilateral.
