Question

The angles of a quadrilateral are in the ratio 3:5:9:13 . The measure of angles of quadrilateral are:

• A. 85^°, 50^°, 200^° and 40^°
• B. 40^°, 80^°, 150^° and 120^°
• C. 36^°, 60^°, 108^° and 156^°
• D. 36^°, 54^°, 140^° and 250^°

Answer 1

The correct option is C

36^°, 60^°, 108^° and 156^°

The sum of angles of a quadrilateral is 360^°.
3a+5a+9a+13a=360^°
30a=360^°
a = 12^°
So, the angles of a triangle are 36^°, 60^°, 108^° and 156^°