The angles of a quadrilateral are in the ratio 1:3:5:6. Find its greatest angle.

Question

Philoid · Accepted Answer

Let the angles be x, 3x, 5x and 6x.

x + 3x + 5x + 6x = 360° (sum of angles of quadrilateral)

15x° = 360^o

x° = 24^o

Therefore, angles are as follows:

x° = 24^o

3x° = 24^o⨯ 3 = 72^o

5x° = 24^o⨯ 5 = 120^o

6x° = 24^o⨯ 6 = 144^o

Hence, 144° is the greatest angle.