Inside a square PQRS, ΔQTR is an equilateral triangle. If RT and QS intersect at O, then ∠QOR is equal to-

The ratio between the three angles of a quadrilateral is 1:6:2 respectively. The value of the fourth angle of the quadrilateral is 45°.What is the difference between the value of the largest and smallest angles of the quadrilateral?

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC – XY is:

The distance between the center of two equal circles each of radius 3 cm, is 10 cm. The length of a transverse common tangent is 

In the given figure, SX is tangent. SX = OX = OR. If QX=3 cm and PQ = 9 cm. then what is the value (in cm) of OS?

Bhuvnesh has drawn an angle of measure 45⁰7’ when he was asked to draw an angle of 45⁰. The percentage error in his drawing is 

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.