Question

the angle of a quadrilateral are in 4:5:6:8: find the measure of each angle

Answer 1

We know that,

Sum of angles in a quadrilateral = 360°

4x + 5x + 6x + 8x = 360°

23x = 360°

x = 360/23 = 15 ( 15/23 )

Now, Angles are 1440/23 , 1800/23 , 2160/23 , 2800/23 .

Answer 2

Hey mate !!!


let the angle of Quadrilateral be x
now ,

angle will be , 4x , 5x , 6x ,8x = 23x


now , sum of angle of Quadrilateral is 360°


23x = 360°


x = 360°÷ 23


now we get = 15.65 approx .



now 1 St angle will be =>. 4*15.65 => 62.6 approx .



second angle => 5*15.65 => 78.2approx .






third angle => 6*15.65 => 93.9 approx .






fourth angle => 8*15.65 => 125.2 .




hence we get all the angle of Quadrilateral .




hope it helps :D



thanks