Question

If the angles of a quadrilateral are in the ratio 2:3:7:6. Find the largest angle ?​

Answer 1

Answer:

Ratio of angles = 2:3:7:6

$Let \: the \: angles \: be \: 2x,3x,7x \: and \: 6x$

As we know that sum of all sides of a quadrilateral us 360°

So,

$2x + 3 x + 7x + 6x = 360°$

$18x = 360°$

$x = \frac{ \cancel{360}}{ \cancel{18}}$

$x = 20°$

So, the angles will be

$2x = 2 \times 20 = 40°$

$3x = 3 \times 20 = 60°$

$7x = 7 \times 20 = 140°$

$6x = 6 \times 20 = 120°$

So, the largest angles is 140°

HOPE IT HELPS✌