For the following questions answer them individually
The sum of the interior angles of a regular polygonis $$1260^\circ$$, What is the difference between an exterior angle and an interior angle of the polygon?
In circle with centre O. AC and BD are two chords. AC and BD meet at E when produced. If AB is the diameter and $$\angle$$ AEB=$$68^\circ$$, then the measure of $$\angle$$ DOC is
In $$\triangle ABC$$, the perpendiculars drawn from $$A, B$$ and $$C$$ meet the opposite sides at $$D, E$$ and $$F$$, respectively. $$AD, BE$$ and $$CF$$ intersect at point $$P$$. If $$\angle EPD = 116^\circ$$ and the bisectors of $$\angle A$$ and $$\angle B$$ meet at $$Q$$, then the measure of $$\angle AQB$$ is:
The perimeters of two similar triangles ABC and PQRare 78 cm and 46.8 cm, respectively. If PQ = 11.7, then the length of AB is:
If the diameter of the base of a right circular cylinder is reduced by $$33\frac{1}{3}\%$$ and its height is doubled, then the volume of the cylinder will:
A rightcircular solid cone of radius 3.2 cm and height 7.2 cm is melted and recastinto a right circular cylinder of height 9.6 cm. What is the diameter of the base of the cylinder?
40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?
In $$\triangle PQR$$, $$I$$ is the incentre of the triangle. If $$\angle QIR = 107^\circ$$, then what is the measure of $$\angle P$$?
Sujata marks an article 36% above the cost price and allows a 40% discount on the marked price. The loss percentage is: