If the reflex angle of the given rays is $240°$, then the measure of the interior angle is an obtuse angle?

The rod $AC$ of a TV disc antenna is fixed at right angles to the wall $AB$ and a rod $CD$ is supporting the disc as shown in the figure. If $AC=1.5 \mathrm{m}$ long and $CD=3 \mathrm{m}$, find $\sec \theta +\mathrm{cosec}\theta$

In the given figure, $ABC$ is an isosceles triangle with $AB = AC$. If $AE = AF$ and $\angle BAE=40°$, then the measure of the angle $FEC$ is

If $\sin \theta =\frac{12}{13}$, find the value of $\cos \theta \& \tan \theta .$

The angles of a quadrilateral are in the ratio $1:2:3:4$. Find the measure of each angle.

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is a

In the adjacent figure, the bisectors of $\angle A$ and $\angle B$ meet in a point $P$. If $\angle C=100°$ and $\angle D=60°$, find the measure of $\angle APB$.

In figure, if $\mathrm{segment} \mathrm{PR}=\mathrm{segment} \mathrm{PQ}$, show that $\mathrm{segmenet} \mathrm{PS}>\mathrm{segment} \mathrm{PQ}$.

In $∆\mathrm{ABC}$, if $\angle \mathrm{A}=90°$, which is the longest side?

The angles of a quadrilateral are respectively $120°$, $75°$ and $135°$, the measure of fourth angle is: