Question

the angles of a quadrilateral are in the ratio 2:3:5:6. find the measure in degrees

Answer 1

Let the angles of the angles of a quadrilateral be 2x,3x,5x,6x.

We know that sum of angles of a Quadrilateral = 360.

= > 2x + 3x + 5x + 6x = 360

= > 16x = 360

= > x = 360/16

= > x = 22.5.

So,

The measure of angle 1 = 2(22.5) =45.

The measure of angle 2 = 3(22.5) =67.5

The measure of angle 3 = 5(22.5) = 112.5

The measure of angle 4 = 6(22.5) = 135.

Therefore, the measures are 45,67.5, 112.5 and 135.

Hope this helps!

Answer 2

Heyy mate here is your answer
2x+3x+5x+6x=360
16x=360
x=360/16
=45/2
2x=2×45/2=45
3×45/2=67.5
5×45/2=77.5
6×45/2=135
Hope it will help you dear friend...