Question

8. The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles.
( what is the answer ​

Answer 1

Answer:

let all angles of quadrilateral are 3x, 4x, 5x and 6x.

3x +4x+5x+6x=360'(A. S. P)

18x=360'

x =360/18

x=20

3x=60',4x=80',5x=100'and 6x =120

all angles are 60',80',100'and 120'

Answer 2

ANSWER:

Given:

• Ratio of angles of quadrilateral = 3 : 4 : 5 : 6

To Find:

• Value of the angles

Assumption:

• Let the angles be 3x, 4x, 5x and 6x respectively.

Solution:

We know that, the sum of all interior angles of a quadrilateral is 360°.

So,

⇒ 3x + 4x + 5x + 6x = 360°

⇒ 18x = 360°

⇒ x = (360/18)°

⇒ x = 20°

Hence, the angles are:

• 3x ⇒ 3(20)° ⇒ 60°
• 4x ⇒ 4(20)° ⇒ 80°
• 5x ⇒ 5(20)° ⇒ 100°
• 6x ⇒ 6(20)° ⇒ 120°

The angles are 60°, 80°, 100° and 120°.

Verification:

⇒ Sum of all interior angles of a quadrilateral = 360°

Solving LHS,

⇒ 60° + 80° + 100° + 120°

⇒ 140° + 220°

⇒ 360° = RHS.

Hence verified.

Learn More:

• Sum of all interior angles of a triangle = 180°
• Sum of all interior angles of a quadrilateral = 360°
• Sum of all interior angles of a pentagon = 540°
• Sum of all interior angles of a polygon = (n - 2)*180°