Question

the angles of a quadrilateral are in the ratio of 12:13:7:4. what is the measure of the four angles?​

Answer 1

Answer:

Let the angles be 12x, 13x, 7x, 4x.

Therefore, angles =) 12x + 13x + 7x + 4x = 360 [sum of all angles of quadrilateral =360]

=) 36x = 360

=) x = 360 / 36

=) x = 10

Therefore, angles = 13x, 12x, 7x, 4x

= 13(10), 12(10), 7(10), 4(10)

= 130, 120, 70, 40. (Ans)

Hope, it will help you.

Answer 2

Answer:

12:13:7:4

12a,13a,7a,4a

now,we know that sum of all angles in quadrilateral is 360°

so, 12a+13a+7a+4a =360

36a = 360

a = 360/36

a = 10

so, (12*10 ) (13*10) (7*10) (4*10)

120 , 130 , 70 , 40

therefore , measure of four angles is 120 , 130 , 70 , 40.