Question

if angles of a quadrilateral are x. +3 , x+8 and x+9 then find the value of x also find all the angles ​

Answer 1

Question :-

If angles of a quadrilateral are x , x + 3 , x + 8 and x + 9, then fine the value of x. Also find all the angles.

Answer :-

We know that, Sum of all angles of quadrilateral is 360°.

➩ x + x + 3 + x + 8 + x + 9 = 360°

➩ 4x + 3 + 8 + 9 = 360°

➩ 4x + 20 = 360°

➩ 4x = 360 - 20

➩ 4x = 340

➩ x = 340/4

➩ x = 85

Value of x = 85°

Angles of quadrilateral :-

➩ x = 85°

➩ x + 3 = 88°

➩ x + 8 = 93°

➩ x + 9 = 94°

Angles of quadrilateral = 85° , 88° , 93° and 94°.