If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?

If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle.

If the sum of the interior angles of a regular polygon be 1080 °, the number of sides of the polygon is 

The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their Interior angles of the polygon is 6⁰ . Then the number of sides are 

In ∆ABC, AC = BC and ∠BAC = 40°. If BC is extended to D such that BC = CD, find out ∠ADC = ?

Given that DE || BC, AD : DB = 3 : 4, find out ar(∆ADE)/ar(∆ABC)?

The difference between the interior and the exterior angles of a regular polygon is 150^o. Find the number of sides in the polygon.

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ΔABC. Then the ratio of the areas of DEF and ΔABC is D, E, F.