Question

The angles of a polygon are in the ratio of 3: 4: 5: 6. Find the highest value of angle of the polygon in degree.

• A. 72°
• B. 108°
• C. 124°
• D. 168°

Answer 1

The correct option is B

108°

Since, it is a quadrilateral; the sum of all angles is equal to 360${}^{\circ }$.

Let the value of first angle be 3x

Second angle be 4x

Third angle be 5x

Fourth angle be 6x

So, 3x + 4x + 5x + 6x = 360${}^{\circ }$

18x = 360${}^{\circ }$

x = 20${}^{\circ }$
So, the value of highest angle in quadrilateral = 6 $\times$ 18${}^{\circ }$

= 108${}^{\circ }$