Question

3. Two angles of a quadrilateral are 80° and 50° and the remaining two angles are in the ratio 3:2 Find the measure
of each angle of the quadrilateral.​

Answer 1

Answer :

Given : Two angles of a quadrilateral are 80° and 50° and the remaining two angles are in the ratio 3:2

To find : The measure of each angle of the quadrilateral

Solution :

We know that the sum of all angles of a quadrilateral is 360 .

So let the angles in ratio be 3x and 2x respectively .

80 + 50 + 3x + 2x = 360

130 + 5x = 360

5x = 360 - 130

5x = 230

x = 230/5

x = 46

So all the angles are 3x = 3 × 46 = 138

2x = 2 × 46 = 92

So angles are 92 , 80 , 50 and 138 respectively

Answer 2

Step-by-step explanation:

sum of all angle is.360

then 80+50+3x + 2x =360

130+5x =360

after you subrect 130 for 360

and 5x divid in

after you got ans.

3x your ans.