In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD=32° and <COB = 26°, then the measure of ∠APD lies between:

In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?

Areas of two similar triangles are 36 cm² and 100 cm². If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the similar triangle is:

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

For an equilateral triangle, the ratio of the in-radius and the outer- radius is