Question

ABCD is a parallelogram. <A = 6x -30° and <C = 4x + 10°. The exact nature of ABCD is-​

Answer 1

Answer:

In Parallelogram :

Given :

• <A = 6x - 30°
• <C = 4x + 10°

To find :

• Nature of Parallelogram ABCD

Note :

• Opposite angles of a parallelogram are equal.

Solution :

• 6x - 30° = 4x + 10°
• 6x - 4x = 10 + 30
• 2x = 50
• x = 25

Value of x = 25

Value of < A :

• 6(25) - 30
• 150 - 30
• 120°

Value of < B :

• 4(25) + 10
• 100 + 10
• 110°

Answer :

< A = 120°

< B = 110°

Answer 2

Answer:-

In Parallelogram :-

Given :

<A = 6x - 30°

<C = 4x + 10°

To find :

Nature of Parallelogram ABCD

Note :

Note :Opposite angles of a parallelogram are equal.

Solution :-

6x - 30° = 4x + 10°

6x - 4x = 10 + 30

2x = 50

x = 25

Value of x = 25

Value of < A :

6(25) - 30

150 - 30

120°

Value of < B :

4(25) + 10

100 + 10

110°

Answer :-

< A = 120°

< B = 110°