Question

the angle of quadrilateral are in the ratio is 1:2:3:4. find the value of smallest angle​

Answer 1

Answer:

Let angles of queadrilateral be X, 2x, 3x, 4x

X + 2x + 3x + 4x = 360° (sum of all angles of quadrilateral)

10x = 360°

X = 360°/10

X = 36°(smallest angle)

hence, 4x = 4 X 36 = 144°

2x = 2 X 36 = 72°

3x = 3 X 36 = 108°

Answer 2

Answer:

The value of smallest angle 36°

Step-by-step explanation:

Let the angles of the quadrilateral be:

• x
• 2x
• 3x
• 4x

Sum of all angles of quadrilateral = 360°

⇒ x + 2x + 3x + 4x = 360°

⇒ 10x = 360

⇒ x = 360 / 10

⇒ x = 36

★ Value of 2x:

⇒ 2 (36)

⇒ 2 × 36

⇒ 72

★ Value of 3x:

⇒ 3 (36)

⇒ 3 × 36

⇒ 108

★ Value of 4x:

⇒ 4 (36)

⇒ 4 × 36

⇒ 144

Therefore,

The angles are 36°, 72°, 108°, 144°

And

The value of smallest angle 36°