Question

The angles of a quadrilateral are in the ratio 1:3:5:6. Find the measure
of the smallest angle.​

Answer 1

Step-by-step explanation:

ratio of angles of quadrilateral= 1:3:5:6

sum of angles of quadrilateral= 360°

let the angles of the quadrilateral be x, 3x, 5x, 6x

so, x+3x+5x+6x= 360°

15x= 360°

x= 360°/15

x= 34°

hence the smallest angle of the quadrilateral is 34°

hope it helps you, mark me the brainliest if it helps you XD, also follow mehhh!!

Answer 2

$\huge\rm\red{Answer:}$

★Given :

Ratio of angles of quadrilateral = 1:3:5:6

★To Find :

Smallest angle = ?

★Solution :

Firstly ,

Let angle = x

$\therefore$ According to the question :

The angles are = 1x , 3x , 5x , 6x

Now ,

We know that sum of angles of quadrilateral are = 360°

So ,

$\implies$1x + 3x + 5x + 6x = 360°

$\implies$15x = 360°

$\implies$x = $\frac{360}{15}$

$\implies$x = 24°

$\implies$As we have to find smallest angle :

So the smallest angle = 24×1 = 24