Question

If four angles of a quadrilateral are in the ratio 2:3:6:7: . Find the four angles.​

Answer 1

Given:

• Angles of quadrilateral are in the ratio 2 : 3 : 6 : 7.

To Find:

• All the four angles of quadrilateral.

Solution:

let,

• ➤ 1st angle be = 2 x
• ➤ 2nd angle be = 3 x
• ➤ 3rd angle be = 6 x
• ➤ 4th angle be = 7 x

As we know that sum of all angles of quadrilateral is 360° .

† According to the Question.

$\\ \sf \dashrightarrow \: 2 \: x \: + 3 \: x \: + \: 6 \: x \: + \: 7 \: x \: = \: 360 \degree$

$\sf \dashrightarrow \: 18 \: x \: = \: 360 \degree$

$\sf \dashrightarrow \: \: x \: = \frac{ 360 \degree }{18}$

$\sf \dashrightarrow \: \: x \: = \cancel{\frac{ 360 \degree }{18}}$

$\sf \dashrightarrow \: \: x \: = 20$

$\dashrightarrow{\underline {\boxed{\bf{\: \: x \: = 20}}}}\pink\bigstar$

So, the value of x is 20

Therefore,

➛ 1st angle = 2 x = 2 ( 20 ) = 40

➛ 2nd angle = 3 x = 3 ( 20 ) = 60

➛ 3rd angle = 6 x = 6 ( 20 ) = 120

➛ 4th angle = 7 x = 7 ( 20 ) = 140

Answer 2

Step-by-step explanation:

1st angle = 2 x = 2 ( 20 ) = 40

➛ 2nd angle = 3 x = 3 ( 20 ) = 60

➛ 3rd angle = 6 x = 6 ( 20 ) = 120

➛ 4th angle = 7 x = 7 ( 20 ) = 140

it's Isha

drop some thx