Question

The angles of a quadrilateral are in the ratio 1:3:7:9.Find the angles of the quadilateral.What type of qudilateral is it?

Answer 1

Answer:

18, 54, 126, 162

Step-by-step explanation:

The sum of the angles of a quadrilateral are always 360 degrees.

So, 1x+3x+7x+9x=360

Therefore, 20x = 360

So x = 18

The angles are 1x, 3x, 7x, 9x

= 18, 54, 126, 162 degrees each.

Hope you found this helpful.

Answer 2

AnswEr:

Angles are : 18°, 54°, 126° and 162°

ExplanaTion:

Let the angles be x, 3x, 7x and 9x

We know that,

Sum of angles of quadrilateral = 360°

$\implies$ x + 3x + 7x + 9x = 360°

$\implies$ 20x = 360°

$\implies$ x = 360/20

$\implies$ x = 18°

$\rule{200}2$

Angles are : 18°, 54°, 126° and 162°

$\rule{200}2$

VerificaTion:

18 + 54 + 126 + 162 = 360°

$\implies$ 360° = 360°

Verified.