Question

Angles of a quadrilateral are in the ratio of 5:6:7:9 Find all the angles.​

Answer 1

Answer:

Angles of a quadrilateral are in the ratio of 5:6:7:9

So Let Angles are 5x, 6x, 7x, 9x

As we know sum of all the angles of a quadrilateral is 360 degree.

5x+6x+7x+9x = 360 degree

27x = 360 degree

x = 360/27 = 40/3 degree

So angles are 5x, 6x, 7x, and 9x = 200/3, 80. 280/3 and 120 degrees

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Angle 1:

$360 \times \frac{5}{27}$

Angle 2:

$360 \times \frac{6}{27}$

Angle 3:

$360 \times \frac{7}{27}$

Angle 4:

$360 \times \frac{9}{27}$

So the angles are:

200/3, 80, 280/3, and 120