Question

if two adjacent angles of a parallelogram are ( 5x+5)degree and (10x + 25) degree . then find the value of x.

Answer 1

Answer:

• 10° is the required value of x .

Step-by-step explanation:

According to the Question

It is given that two adjacent angles of Parallelogram are

• (5x+5) degree
• (10x+25)

we have to find the value of x .

As we know that sum of two adjacent angles of a parallelogram is 180° .

we will put here the given value .

➛ (5x+5) + (10x+25) = 180°

➛ 5x+5° + 10x +25° = 180°

➛ 15x + 30° = 180°

➛ 15x = 180°-30°

➛ 15x = 150°

➛ x = 150°/15

➛ x = 10°

• Therefore, the value of x is 10°.

Answer 2

Answer:

Given :-

• The two adjacent angles of a parallelogram are (5x + 5)° and (10x + 25)°.

To Find :-

• What is the value of x.

Solution :-

Given :

$\bigstar\: \: \bf{First\: angles\: of\: parallelogram =\: (5x + 5)^{\circ}}$

$\bigstar\: \: \bf{Second\: angles\: of\: parallelogram =\: (10x + 25)^{\circ}}$

Now, as we know that :

$\footnotesize\mapsto \sf\boxed{\bold{\pink{Sum\: of\: all\: angles\: of\: parallelogram =\: 180^{\circ}}}}$

According to the question by using the formula we get,

$\longrightarrow \sf 5x + 5^{\circ} + 10x + 25^{\circ} =\: 180^{\circ}$

$\longrightarrow \sf 5x + 10x + 5^{\circ} + 25^{\circ} =\: 180^{\circ}$

$\longrightarrow \sf 15x + 30^{\circ} =\: 180^{\circ}$

$\longrightarrow \sf 15x =\: 180^{\circ} - 30^{\circ}$

$\longrightarrow \sf 15x =\: 150^{\circ}$

$\longrightarrow \sf x =\: \dfrac{150^{\circ}}{15}$

$\longrightarrow \sf x =\: \dfrac{10^{\circ}}{1}$

$\longrightarrow \sf\bold{\red{x =\: 10^{\circ}}}$

${\small{\bold{\purple{\underline{\therefore\: The\: value\: of\: x\: is\: 10^{\circ}\: .}}}}}$