Question

the angles of a quardrilateral are in the ratio 1:2:3:4 then the smallest angle is​

Answer 1

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Answer 2

Answer:

The smallest angle is 36°

Step-by-step explanation:

Let,

The angles of a quardrilateral are:

• x
• 2x
• 3x
• 4x

As we know that,

The sum of all angles of a quardrilateral is 360°

So,

⇒ x + 2x + 3x + 4x = 360

⇒ 10x = 360

⇒ x = 360 / 10

⇒ x = 36

__________________________

★ Value of 2x :

⇒ 2 (36)

⇒ 72

_________________________

★ Value of 3x :

⇒ 3 (36)

⇒ 108

_________________________

★ Value of 4x :

⇒ 4 (36)

⇒ 144

Hence,

The all angles of quardrilateral are :

36°, 72°, 108°, 144°

Therefore,

The smallest angle is 36°