MATHS M.C.Q. [1 Marks Each]

 This is because the initial points in these rays are $A$ and $B,$ respectively, and are extended endlessly towards $B$ and $A,$ respectively.

A $10$ sided figure is called Decagon.

A diagonal is a line segment joining two opposite vertices. Since we cannot have diagonal to the vertex of either side, as it would lay on top of a side. Hence triangle being only $3$ sides, each vertex joining vertex is its own side. So there are no diagonals in a triangle.

The correct answer is $135^\circ $
Since, $1$ right angle $= 90^\circ $
Therefore, $\frac{3}{2}$ right angles $=\frac32\times90^\circ$

Parallel lines are those which never intersects.Option $(A), (B), (C)$ are property of parallel lines. Since they dont intersect each other so they can never form an angle.

The symbol of a line-segment is
Hence, a line segment $RS$ is symbolically written as $\overline{\text{RS}}$

In an isosceles $\triangle\text{ABC}$, $\angle\text{B} = \angle\text{C}$ and bisector of $\angle\text{B}$ and $\angle\text{C}$ meet at $O$ and $\angle\text{A} = 40^\circ $

$\therefore\angle\text{B}=\angle\text{C}=\frac{\Big(180^\circ-40^\circ\Big)}{2}$
$=\frac{140^\circ}{2}=70^\circ$
$\therefore\frac{1}{2}\angle\text{B}=\frac{1}{2}\angle\text{C}=\frac{70^\circ}{2}=35^\circ$
Now in $\triangle\text{OBC}$
$\angle\text{BOC}+\angle\text{OBC}+\angle\text{OCB}=180^\circ$
$\angle\text{BOC}+\frac{1}{2}\angle\text{B}+\frac{1}{2}\angle\text{C}=180^\circ$
$\Rightarrow\angle\text{BOC}+35^\circ+35^\circ=180^\circ$
$\Rightarrow\angle\text{BOC}=180^\circ-70^\circ=110^\circ$

A polygon is one which is made of straight line segments and encloses a single area that is bounded by them.
For which we need more than $2$ line segments

$36$ spokes has $360^\circ .$
Angle between two adjacent spokes.
$=\frac{360^\circ}{36^\circ}=10^\circ$

An angle measuring $90^\circ $ is called a right angle.

A straight angle has $180^\circ .$

A reflex angles is greater than $180^\circ $ but less than $360^\circ .$

In ray $ \overrightarrow{\text{AB}}$ $A$ is initial in point and ray $ \overrightarrow{\text{BA}}$, $B$ is the initial point. So, both are not same.

The sum of all the angles of a quadrilateral is $360^\circ .$

 Let the angles of a quadrilateral be $3x, 4x, 5x$ and $6x.$
Sum of all the angles of a quadrilateral is $360^\circ .$
Therefore, $3x + 4x + 5x + 6x = 360^\circ $
$\Rightarrow 18x = 360^\circ $
$\Rightarrow\text{x}=\frac{360}{18}$
$\Rightarrow x = 20^\circ $
So,
$3x = 60^\circ $
$4x = 80^\circ $
$5x = 100^\circ $
$6x = 120^\circ $
The largest of these angles is $120^\circ .$
So, the correct answer is given in option $(b).$

 A regular polygon is one that has all sides of equal length and has equal angles between each edge of the polygon
Between a square, a trapezium, a rectangle, and a parallelogram, the polygon that has $4$ equal sides is a square.
Hence square is the regular polygon of $4$ sides.

 Two angles of a triangle are $30^\circ $ and $25^\circ $ But sum of three angles of a triangle $– 180^\circ $
Third angle $= 180^\circ - (30 + 25^\circ )$
$= 180^\circ - 55^\circ = 125^\circ $

 An obtuse triangle is a triangle whose one angle is more than $90^\circ .$

An angle measuring $270^\circ $ is a reflex angles as it is greater than $180^\circ $ and less than $360^\circ .$

There is only one line segment passing through $2$ points.

Triangular region is the region inside the triangle i.e, inside the boundary of the triangle including boundary. Considering this definition we will get option $C$ as correct answer.

A reflex angle is greater than $180^\circ $ but less than $360^\circ .$

A polygon should be at least $3$ sided to make a closed figure. A polygon can be as many number of line segments.

 Two right angles $= (2 \times 90)^\circ = 180^\circ .$

The three angles of a quadrilateral are $80^\circ , 70^\circ $ and $120^\circ .$
Let the fourth angle be $x.$
We know that the sum of all the angles of a quadrilateral is $360^\circ .$
$80^\circ + 70^\circ + 120^\circ + x = 360^\circ $
$\Rightarrow 270^\circ + x = 360^\circ $
$\Rightarrow x = 360^\circ – 270^\circ $
$\Rightarrow x = 90^\circ $
Thus, the fourth angle is $90^\circ .$

 A straight angle is equal to $180^\circ .$

 An angle of measure $180^\circ $ is a straight angle.

A rectilinear figure is a figure all of whose edges meet at right angles. These edges are formed by straight lines so as to form a polygon with all interior angles of $90^\circ $

 The symbol of a ray is $\rightarrow $
Hence, A ray $CD$ is symbolically written as $\overrightarrow{\text{CD}}$

 In the figure, $P$ lies on $AB$. Its lies on the $\triangle\text{ABC}.$

$\therefore$ Largest angle
$=\frac{180^\circ\times4}{2+3+4}=\frac{180^\circ\times4}{9}=80^\circ$

 $\therefore$ A scalene triangle has different sides.

A complete angle is equal to $360^\circ .$

 Sum of exterior angles of every polygon irrespective of number of its sides $360^\circ $ As it is a regular polygon, all exterior angles are equal and are $30^\circ $
So, number of sides of the polygon $=\frac{360^{\circ}}{30^{\circ}}=12$

$\therefore$ Sum of three angles is $180^\circ$ and sum of two equal angles $= 70^\circ + 70^\circ = 140^\circ ,$ then third angle will be $180^\circ - 140^\circ = 40^\circ .$

$x + 2y - 4 = 0....(i)$ and $2y + 4y - 12 = 0.....(ii)$
Slope of $(i) = \text{m}_1=\frac{1}{2}$
Slope of $(ii) \text{m}_2=\frac{2}{4}=\frac{1}{2}\text{m}_1=\text{m}_2$
Therefore lines are parallel.

 Diameter $= 2x$ radius

 Since, $1$ right angle $= 90^\circ $
Therefore, $2$ right angles $= 90^\circ \times 2 = 180^\circ $

$\therefore$ A triangle has $180^\circ $ and if two angles are complementary i.e. sum of two angles is $90^\circ ,$ then third angle will be $180^\circ - 90^\circ = 90^\circ .$

In $\angle ROP,$ vertex is $O$ because is vertex is mentioned in middle.

An open curve is a curve whose end points do not join. In other words it has $2$ end points.

Let's take two points $P$ and $Q.$
Now, $P$ and $Q$ can be joined by only one straight line as shown in above figure.
So, they determine only one line segment.

As the length of the edge of an $A4$ sheet is fixed, so it is an example of a LINE SEGMENT.

$3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel
$\therefore$ The coefficients of $x$ and $y$ are in proportion
$\Rightarrow\frac{3}{2}=\frac{2\text{k}}{5}$
$\Rightarrow\text{k}=\frac{15}{4}$

A reflex angle is defined as an angle that measures more than $180^\circ $ but less than $360^\circ .$