Question

The angles of a quadrilateral are in the ratio 1:6:3:5. what are the angles

Answer 1

So the angle sum of the quadrilateral is 360

i.e

1:3:5:6's sum is 360 as we don't know their values we put a variable

1x + 3x + 5x + 6x = 60

15x = 360  (transpose)

x = 360/15

x= 24

and as in 1, 3, 5 & 6; 1 is the smallest number so 1x, i.e. 1×24= 24° will be the measure of the smallest angle

in case you want the measurement of other angles here you go:

3x = 3×24 = 72

5x = 5×24 = 120

6x = 6×24 = 144

(72+120+144+24=360)

Answer 2

$\huge\boxed{\boxed{\fcolorbox{white}{pink}{Answer}}}$

❥ $\large\bold\green{\underline{According\: to\: the\: question}}$

$1x + 6x + 3x + 5x = 360$

$15 x = 360$

$x = 24$

❥ $\large\bold\pink{\underline{Substituting\: the\: value}}$

$1x = 1 ×24= 24$

$6x = 6×24 = 144$

$3x = 3×24 = 72$

$5x = 5 × 24= 120$

Hope it helps úh