Advertisements
Advertisements
प्रश्न
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
Advertisements
उत्तर
Given: Two opposite angles of a parallelogram are 100° each.

∵ Adjacent angles of a parallelogram are supplementary,
∴ ∠A + ∠B = 180°
⇒ 100° + ∠B = 180°
⇒ ∠B = 180° – 100°
⇒ ∠B = 80°
Also, opposite angles of a parallelogram are equal
∴∠D = ∠B = 80°
∴∠B = ∠D = 80°
APPEARS IN
संबंधित प्रश्न
In a quadrilateral, define of the following Opposite angles .
Complete of the following, so as to make a true statement:
A quadrilateral has ....... sides.
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of adjacent angles.

In Fig. 16.20, find the measure of ∠MPN.

The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
Use the following figure to find the value of x

In a trapezium ABCD, side AB is parallel to side DC. If ∠A = x° and ∠D = (3x – 20)°; find the value of x.
In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
Using the information given, name the right angles in part of figure:
OP ⊥ AB

