Question

Three angles of quadrilaterals are in the ratio 3:5:7.the mean of these three angles is 75digree . find all the four angles of the quadrilaterals​

Answer 1

Answer:

7x=7*19=133

3x=3*19=57

5x=5*19=95

Step-by-step explanation:

The ratio of the three angles of quadrilateral =3:4:7=3:4:7

Let the angles be 3x,4x,and 7x

The greatest angle among these is 7x and the least is 3x

According to the given condition ,

7x−3x=76

4x=76

x=19

Therefore the three angles are

7x=7*19=133

3x=3*19=57

5x=5*19=95

Answer 2

Answer:

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