The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is

In the given figure , DE‖BC and AD:DB=5:3, then what is the value of DE|BC?

In a trapezium, one diagonal divides the other in the ratio 2 :9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=60⁰ and ∠QCR = 130°, then ∠RPS = ?

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

if θ is acute angle and sin (θ+18⁰) = 1/2, then the value of θ in circular measure is :

In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is