Question

the angles of a qudrilateral are in the ratio:
                                                          3:5:4:3           find the  angles....

step by step answer

Answer 1

Let the angles be 3x, 5x, 4x & 3x.
All angles of a quadrilateral sum up to 360°

Hence we can write,
3x + 5x + 4x + 3x = 360°
15x = 360°
x = 360/15 = 24°

.·. 1st angle = (3×24) = 72°
     2nd angle = (5×24) = 120°
     3rd angle = (4×24) = 96°
     4th angle = (3×24) = 72°

Now, verify if all the angles sum upto 360° or not.
(72+120+96+72)° = 360°