Question

The angles of quadrilateral are in the ratio 1:3:5:6.find its smallest angles
​

Answer 1

Step-by-step explanation:

Let the angles are =x,3x,5x,6x

According to sum theory in a quadiratral

${:}\longrightarrow\sf x+3x+5x+6x=360$

${:}\longrightarrow\sf 4x+5x+6x=360$

${:}\longrightarrow\sf 9x+6x=360$

${:}\longrightarrow\sf 15x=360$

${:}\longrightarrow\sf x=\dfrac {360}{15}$

${:}\longrightarrow\sf x=24$

$\therefore$Measure of the smallest angle is 24°.

Answer 2

Answer:

$\bold{Let\:The\:Angles\:be=}$ 1x, 3x, 5x, 6x

Step-by-step explanation:

$\huge\bold{Solution-}$

$1x + 3x + 5x + 6x = 360(sum \: of \: sides) \\ \\ = 15x = 360 \\ \\ = x = \frac{360}{15} \\ \\ = x = 24$

So,

1x= 24°

3x= 72°

5x= 120°

6x= 144°

$\bold\red{Smallest\:angle=}\bold\orange{24°}$