Question

14. Two consecutive angles of a parallelogram are + 60% and 2x
•30)". What special name can you give to this parallelogram?
(a) Square
O (b) Rhombus
0 (c)Trapezium
(c) Rectangle​

Answer 1

Answer:

✋

Step-by-step explanation:

Rectangle

Answer 2

Option d) Rectangle is the special name that can be given to this parallelogram.

The two angles given are:

x + 60 and 2x + 30

Since the two angles are consecutive, the sum of the angles is 180°.

∵ (x + 60) + (2x + 30) = 180

x + 60 + 2x + 30 = 180

3x + 90 = 180

3x = 90

x = 30

Substituting the value of x in the angles

x + 60 = 90°

2x + 30 = 90°

Since the consecutive angles are 90° of this parallelogram, it is called rectangle.