Question

An angles of a quardilateral is 1:2:3:4 . so the smallest angle is

Answer 1

Answer:

Given, angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4

Let the constant be x

Let the 1st angle be x, 2nd be 2x, 3rd be 3x and 4th be 4x

The sum of all angles of a quadrilateral is 360°

According to the question,

x + 2x + 3x + 4x = 360

➾ 10x = 360

➾ x = \dfrac{360}{10}

10

360

➾ x = 36

∴ 1st angle ➾ x

➾ \red{\boxed{\blue{36^{\circ}}}}

36

∘

∴ 2nd angle ➾ 2x

➾ 2 × 36

➾ \red{\boxed{\blue{72^{\circ}}}}

72

∘

∴ 3rd angle ➾ 3x

➾ 3 × 36

➾ \red{\boxed{\blue{108^{\circ}}}}

108

∘

∴ 4th angle ➾ 4x

➾ 4 × 36

➾ \red{\boxed{\blue{144^{\circ}}}}

144

∘

∴ The smallest angle is 36° and the biggest angle is 144°

Answer 2

Answer:

36

Step-by-step explanation:

1x+2x+3x+4x=360

10x=360

x=360/100

x=36

so the smallest angle is 36