∠A, ∠B, ∠C are three angles of a triangle. If ∠A -∠B =18°, ∠B – ∠C = 45°, then, ∠B, ∠A and ∠C are

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the midpoints of the sides PQ and PR respectively. What is the area (in cm²) of the shaded region?

PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If ∠SPT=32°, then what will be the measure of ∠QRP?

If each interior angle is doubled of each exterior angle of a regular polygon with n sides, then the value of n is 

In ΔPQR , ∠R=54° the perpendicular bisector of PQ at S meets QR at T. If ∠TPR =46°, then what value of (in degree) ∠PQR?

A unique circle can always be drawn through x number of given non-collinear points, then X must be 

ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the following is true?

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