Question

the angles of a quadrilateral are in the ratio 1 : 1 : 3 : 7 find each angle of the quadrilateral​

Answer 1

Answer:

Here is your ans dear friend... Hope this will help you

=>1:1:3:7=360° ( Because the total sum of interior angles of a quadrilateral is 360°)

=>1x:1x:3x:7x=360°

=>12x=360°

=>x=(360/12)°

=>x=30

So the value of x is 30

Therefore, the value of 1:1:3:7 is

1x=1×30

=30°

3x=3×30

=90°

7x=7×30

=210°

So this must be the ans. to your question

Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 1:1:3:7

Let ∠A = 1x  ∠B = 1x  ∠C = 3x  ∠D = 7x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 1x + 1x + 3x + 7x = 360°

⇒ 12x = 360

⇒ x = 360 ÷ 12 = 30

So , the angles of the quadrilateral is

∠A = (1 × 30)° = 30°

∠B = (1 × 30)° = 30°

∠C = (3 × 30)° = 90°

∠D = (7 × 30)° = 210°