Question

Two adjacent angles of a parallelogram are (3x + 20) degree and ( 2x + 10) degree then find the value of x? Write the reason also.
Guys pls tell me fast

Answer 1

Answer:

The value of $x$ is 30°

Explanation :

Given angles :

• $(3x + 20)^{\circ}$
• $(2x + 10)^{\circ}$

Since,they are adjacent it forms a supplementary angle which adds up to 180°

According to the question :

${\implies \: (3x + 20)^{\circ} + (2x + 10)^{\circ} = 180^{\circ}} \\ \underbrace{ \sf{{ \: solving \: for \: \boldsymbol{x} }}}\\ \implies \: 3x + 20 + 2x + 10 = 180^{\circ} \\ \implies \: 5x + 30 = 180^{\circ} \\ \implies \: 5x = 180 - 30 \\ \implies \: 5x = 150 \\ \implies \: x = \frac{150}{5} \\ \implies \: x = 30 \\ \sf \therefore \: The \: value \: of \boldsymbol{x} \: is \: 30^{\circ}$

Answer 2

Given :-

• Two adjacent angles of a parallelogram are (3x + 20)° and (2x + 10)°

To Find :-

• The value of 'x'.

Solution :-

We know that,

• In parallelogram,

• Sum of the adjacent angles is 180°.

$\rm :\implies\:3x + 20 + 2x + 10 = 180$

$\rm :\implies\:5x + 30 = 180$

$\rm :\implies\:5x = 150$

$\rm :\implies\:x = 30$

Additional Information :-

Additional Information :- Properties of parallelogram

A quadrilateral satisfying the below-mentioned properties will be classified as a parallelogram. A parallelogram has four properties:

• Opposite angles are equal

• Opposite sides are equal and parallel

• Diagonals bisect each other

• Sum of any two adjacent angles is 180°

Parallelogram formulas –

Parallelogram formulas – Area and perimeter of a parallelogram

• If the length of a parallelogram is ‘l’, breadth is ‘b’ and height is ‘h’ then:

• Perimeter of parallelogram= 2 × (l + b)

• Area of the parallelogram = l × h