In the parallelogram XYWZ, ∠XZW + ∠YWZ = degrees.

 

 

 

 

The perimeter of a rectangle is 42 cm. If its diagonal is 15 cm long, find the breadth of the rectangle. 

(A) 8 cm. 

(B) 10 cm. 

(C) 9 cm. 

(D) 7 cm. 

Land is acquired for road widening from a square ground, as shown in the figure. The width of the acquired land is $2 \mathrm{m}$. Area of the remaining ground is $440 {\mathrm{m}}^2$. What is the shape of the remaining ground?

X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

 (A) 128 units 

(B) 64 units 

(C) 96 units 

(D) 160 units 

Write ‘T’ for true and ‘F’ for false of each of the following:

i. The diagonals of a parallelogram are equal.

ii. The diagonals of a rectangle are perpendicular to each other.

iii. The diagonals of a rhombus bisect each other at right angles.

iv. Every rhombus is a kite.

Two adjacent angles of a parallelogram are the ratio $2:3$. Find the measure of each of its angles.

Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

Given a parallelogram $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}.$ Complete the statement along with the definition or property used.

 $\mathrm{A}\mathrm{D}=$ _____________

$ABCD$ is a rectangle, its diagonals meet at $O$. Find $x$, if $OA=2x+4$ and $OD=3x+1$.