Closed and Open Figures

The amount of space occupied by a three dimensional objects is called its_______?

In the given figure,

PQL and PRM are tangents to the circle with centre 'O' at the points Q and R, respectively and S is a point on the circle such that $\angle SQL=50º$ and $\angle SRM=60º$. Then $\angle QSR$ is equal to:

The hypotenuse of a right-angled triangle is $6 \mathrm{m}$ more than twice of the shortest side. If the third side is $2 \mathrm{m}$ less than the hypotenuse, find the sides of the triangle.

In a$\mathrm{\Delta ABC},$$\frac{\mathrm{AB}}{\mathrm{AC}}=\frac{\mathrm{BD}}{\mathrm{BC}},\angle \mathrm{B}=70°$ and $\angle \mathrm{C}=50°$, then $\angle \mathrm{BAD}=$ ______.

A line segment has:

The number of points a line can have been:

The measure of each interior angle of a regular polygon is 140^o, then number of sides that regular polygon has ________________

 If in $△\mathrm{ABC}$ and $∆\mathrm{DEF},\angle \mathrm{A}=50°,\angle \mathrm{B}=70°,\angle \mathrm{C}=60°,\angle \mathrm{D}=60°,\angle \mathrm{E}=70°$ and $\angle \mathrm{F}=50°$ . Which of the following is correct?

In a trapezium $\mathrm{ABCD},\mathrm{AB}\parallel \mathrm{CD}$ and the diagonals meet at point $\mathrm{O}$. If $\mathrm{AB}=6 \mathrm{cm}$ and $\mathrm{DC}=3 \mathrm{cm}$, then the ratio of $\mathrm{ar}(△\mathrm{AOB})$ and $\mathrm{ar}(△\mathrm{COD})$ will be ____ .

The ratio of an interior angle to the exterior angle of a regular polygon is $5:1$. The number of sides of polygon is _____.

In the given figure, $AB\parallel DC$, $\angle BAD=90°, \angle CBD=28°$ and $\angle BCE=65°$, then find $\angle ABD=?$

In the figure given above, $A$ is the centre of the circle and $AB = BC = CD$. What is the value of $x$?

$\mathrm{ABCD}$ is a square. $\mathrm{M}$ is the mid-point of $\mathrm{AB}$ and $\mathrm{N}$ is the mid-point of $\mathrm{BC}$. $\mathrm{DM}$ and $\mathrm{AN}$ are joined and they meet at $\mathrm{O}$. Then which of the following is not correct?

In $∆ABC$, $AB=5 \mathrm{cm}$,  $AC=7 \mathrm{cm}$. If $AD$ is the angle bisector of $\angle A$, then $BD : CD$ is-

The number of sides in a regular polygon is $10$. Its each interior angle is:

In a triangle $ABC$, right angled at $C$, find the value of $\tan A + \tan B$ in terms of sides $a, b, c$?

Inside a square $ABCD, \Delta BEC$ is an equilateral triangle. If  $CE$ and $BD$ intersect at $O$, then $\angle BOC$ is equal to____

$∆ABC$ is an isosceles triangle with $AB=AC$. A circle through $B$ touching $AC$ at the middle point Intersects $AB$ at $P$. Find $AP:AB$ is:

In the figure given below, O is the centre of the circle. AC and BD intersect at P. If $\angle AOB=100º$ and $\angle DAP=30º$, what is $\angle APB$?

The extrior angle of a regular polygon is one third of its interior angle, the number of sides of polygon is _____.