Question

The angles of a quadrilateral are in the ratio 2:3:5:6. Find the largest angle.

Answer 1

Let the common multiple be x.
Hence,2x+3x+5x+6x = 360
16x = 360
x = 360/16
x = 22.5

The largest angle i.e. 6x = 22.5 * 6 = 135.

Answer 2

Hello dear!!!
Here's your answer...

The angles of a quadrilateral are in the ratio 2:3:5:6
Let,
Angles are 2x,3x,5x,6x
Sum of all angles are 360
2x+3x+5x+6x=360
16x=360
x=360/16
x=22.5

The angles are
2x=45
3x=67.5
5x=112.6
6x=135

So,the largest angle is 135°



Hope this helps you
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Harshita