Question

The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are:​

Answer 1

Answer:

48° , 60° , 120°, 132°

Step-by-step explanation:

Let x be the common angle among all the four angles of quadrilateral.

As per angle sum property, we know:

4x+5x+10x+11x = 360°

30x = 360°

x = 12°

Hence, angles are

4x = 4 (12) = 48°

5x = 5 (12) = 60°

10x = 10 (12) = 120°

11x = 11 (12) = 132°

Answer 2

Answer:

The angles in a quadrilateral sum up to 360°.

The angles given here in the ratio form are : 4x, 5x, 10x and 11x.

Hence, 4x + 5x + 10x + 11x = 360

⇒ 30x = 360

⇒ x = 360/30

⇒ x = 12

Hence, the angles =

⇒ 4x = 4(12) = 48°

⇒ 5x = 5(12) = 60°

⇒ 10x = 10(12) = 120°

⇒ 11x = 11(12) = 132°

Therefore, the angles are : 48°, 60°, 120° and 132°.

Important :

• A quadrilateral is a four sided shaped.
• It has 4 vertices.
• Sum of interior angles : 360°
• Perimeter is the sum of all four sides.
• Area = ½×diagonal×(sum of perpendicular heights)