Question

The angles in a quadrilateral are in the ratio 5:6:8:11.Find the angles of quadrilateral.​

Answer 1

5x+6x+8x+11x=360

30x=360

x=12

5x=5*12=60

6x=6*12=72

8x=8*12=96

11x=11*12=132

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Answer 2

Answer :-

• First angle = 60°
• Second angle = 72°
• Third angle = 96°
• Fourth angle = 132°

Given :-

• Ratio of Quadrilateral angles = 5 : 6 : 8 : 11

To Find :-

• All four angles of Quadrilateral

Explanation :-

Let the four angles of a Quadrilateral to be 5x, 6x, 8x and 11x respectively.

As we know, the sum of all interior angles in a Quadrilateral is 360°

Now, making an equation

$\rm \implies 5x + 6x + 8x + 11x = 360^{\circ}$

$\rm \implies 11x + 19x = 360^{\circ}$

$\rm \implies 30x = 360^{\circ}$

$\rm \implies x = \dfrac{360^{\circ}}{30}$

$\underline { \boxed { \rm \bold { \implies x = 12^{\circ}}}}$

Now, substituting the value of x ,

$\rm \implies 5x = 5(12) = \bold { 60^{\circ}}$

$\rm \implies 6x = 6(12) = \bold { 72^{\circ}}$

$\rm \implies 8x = 8(12) = \bold { 96^{\circ}}$

$\rm \implies 11x = 11(12) = \bold { 132^{\circ}}$

Hence, the all four angles of the Quadrilateral are 60°, 72°, 96° and 132° respectively.

@Agamsain