Question

The measures of two adjacent angles of a parallelogram are in the ratio

4:5.Find the measure of each angles of a parallelogram​

Answer 1

Answer:

let ABCD a parallelogram

and in parallelogram opposite angle are equal

I.e. (<a = <c and <b = <d. )

let adjacent angle,

<a = 4x

<b = 5x

and sum of angles of quadrilateral is 360°

so,

<a + < b + < c + <d = 360. and ( angle a = c and b=d )

4x + 5x + 4x + 5x. = 360

18x = 360

x = 360/18

x = 20

so, a = c = 4x = 4×20 = 80

b = d = 5x = 5×20 =100