In the figure given below, PT=6 cm and PA=4 cm. What is the length of AB?

Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is 

The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56°. What is the value of largest angle of the triangle?

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is: 

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?

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?

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