Question

Three angles of a quadrilateral are in the ratio 3:5:7. The mean of these three angle is 75° .Find all the four angles of the quadrilateral​

Answer 1

Answer:

145

Step-by-step explanation:

let the three angles of quardilateral be 3x,5x,7x.

Average mean = 75

(3x+5x+7x)/3= 75

3x+5x+7x = 75*3

15x = 225

x = 15.

1st angle= 3x = 3*15 = 45

2nd angle = 5x= 5*13 = 65

3rd angle = 7x = 7*15 =105.

There fore by angle sum property of quardilateral

4th angle=360-45-65-105

=360- 215

= 145

Answer 2

Answer:

let the three angles be 3x,5x and 7x

then 3x+5x+7x+75= 360

15x= 285

x= 19

thne angles are 57, 95, 133 and 75