Question

if Qudiltarel have angle that has 1:2:4:5waht is the maximum number of angle​

Answer 1

${\bigstar}$SOLUTION${\bigstar}$

let the angles of the quadrilateral be 1x ,2x, 4x ,5x.

➠sum of the angles of the quadrilateral = 360°

➠1x + 2x + 4x + 5x = 360°

➠12x = 360°

➠x = $\frac{360}{12}$

➠$\boxed{\sf{ x = 30° }}$

by sub/: x = 30° ,the angles of the quadrilateral will be

➥1x = 1(30) = 30°

➥2x= 2(30)= 60°

➥4x= 4(30)= 120°

➥5x= 5(30)= 150°

so the maximum angle of the quadrilateral is

$\boxed{\sf{ 150° }}$

Answer 2

${\bigstar}SOLUTION{\bigstar}$

Let the angles of the quadrilateral be 1x ,2x, 4x ,5x.

➠sum of the angles of the quadrilateral = 360°

➠1x + 2x + 4x + 5x = 360°

➠12x = 360°

➠x = $\frac{360}{12}$

➠ $\boxed{\sf{ x = 30° }}$

x = 30° ,the angles of the quadrilateral will be

➥1x = 1(30) = 30°

➥2x= 2(30)= 60°

➥4x= 4(30)= 120°

➥5x= 5(30)= 150°

So the maximum angle of the quadrilateral is $\boxed{\sf{ 150° }}$

Thank you.