Question

In a parallelogram, iftwo adjacent angles are
(2x +35)° and (3x - 15), find the value of x​

Answer 1

Given :-

◉ Two adjacent angles of a parallelogram are given as 2x + 35 , and 3x - 15

To Find :-

◉ Value of x

Solution :-

We know, The sum of two adjacent angles of a parallelogram is 180° ,

∴ Sum of the given two angles = 180°

⇒ 2x + 35 + 3x - 15 = 180°

⇒ 5x + 20 = 180

⇒ 5x = 160

⇒ x = 32

Hence, The value of x is 32.

Some Information :-

◉ A Parallelogram is a quadrilateral whose:

• Opposite sides are equal.
• Opposite sides are parallel.
• Opposite angles are equal.
• Adjacent angles sum upto 180°.
• Diagonals bisect each other.

◉ Area of a Parallelogram:

⇒ Base × Height

◉ A quadrilateral is a figure inclosed by four lines.

It includes Rectangle, Square, Rhombus, Trapezium, etc.,

Answer 2

Given :

• Angle of a parallelogram are (2x + 35)° & (3x - 15)°

To find :

• Value of x

According to the question,

→ (2x + 35)° + (3x - 15)° = 180°

→ 2x + 35° + 3x - 15° = 180°

→ 5x + 20° = 180°

→ 5x = 180° - 20°

→ 5x = 160°

→ x = 160° ÷ 5

.°. x = 32°

So,the value of x is 32°...

______________....

Verification :

→ (2x + 35)° + (3x - 15)° = 180°

→ 5x + 20 = 180°

Putting the value of x

→ 5 × 32° + 20° = 180°

→ 160° + 20° = 180°

→ 180° = 180°

.°. L.H.S = R.H.S

Hence,Verified...