How many types of angles are formed between the edges of plane surfaces? 

1

(a)

Of different types

(b)

Of only one type

(c)

Of only two types

(d)

of only three types 

An angle which measures between \(0^{ 0 }\) and \(90^{ 0 }\) is called

1

(a)

a straight angle

(b)

an acute angle

(c)

a right angle

(d)

an obtuse angle

An obtuse angle

1

(a)

measures between \(0^{ 0 }\) and \(90^{ 0 }\)

(b)

is greater than \(90^{ 0 }\) but less than \(180^{ 0 }\)

(c)

is exactly equal to \(90^{ 0 }\)

(d)

is exactly equal to \(180^{ 0 }\)

Two angles whose sum is \(90^{ 0 }\) are called

1

(a)

supplementary angles

(b)

complementary angles 

(c)

corresponding angles

(d)

alternate angles

The sum of two complimentary angles is 

1

(a)

\(180^{ 0 }\)

(b)

\(360^{ 0 }\)

(c)

\(90^{ 0 }\)

(d)

None of these

A reflex angle

1

(a)

is greater than \(180^{ 0 }\) but less than \(360^{ 0 }\)

(b)

is exactly equal to \(180^{ 0 }\)

(c)

is exactly equal to \(90^{ 0 }\)

(d)

is greater than \(90^{ 0 }\) but less than \(180^{ 0 }\)

Two angles whose sum is \(90^{ 0 }\) are called

1

(a)

Supplementary angles

(b)

complimentary angles

(c)

corresponding angles

(d)

alternate angles

An angle which is greater than \(90^{ 0 }\) and less than \(180^{ 0 }\) is called 

1

(a)

an acute angle

(b)

a straight angle

(c)

an obtuse angle

(d)

an straight angle

An angle which is greater than \(90^{ 0 }\) and less than \(180^{ 0 }\) is called

1

(a)

a right angle

(b)

a straight angle

(c)

an acute angle

(d)

an obtuse angle

The compliment of (\(90^{ 0 }\)-\(a^{ 0 }\)) is

1

(a)

\(-a^{ 0 }\)

(b)

​​​​​\(90^{ 0 }\)+\(a^{ 0 }\)

(c)

​​​​​\(90^{ 0 }\)-\(a^{ 0 }\)

(d)

\(a^{ 0 }\)

What is the measure of an angle which is complement of itself?

1

(a)

Let the angle be x, then
Angle x= Complement of x
\(\Rightarrow\) x=90^o-x\(\Rightarrow\)x=45^o

Write the angle which is one-fifth of its complement.

1

(a)

Let the angle be x, then
By given condition, \(x=\frac{1}{5}(90^o-x)\Rightarrow6x=90^0\)
\(\Rightarrow x=15^0\)

Two supplementary angles are in ratio 2:7. Find the measure of angles.

1

(a)

2x+7x=180^o\(\Rightarrow\)x=20^o
So the angles are
2x=2X20^o
=40^o
7x=7X20^o
=140^o
So two angles are 40^o and 140^o

If a transversal intersects two parallel lines, then which of the pairs of angles is equal.

1

(a)

Pair of alternate interior angles.

In the figure below, if \(\angle A+\angle B+\angle C+\angle D+\angle E+\angle F=k\) right angles, then what is the value of k?

1

(a)

In \(\triangle ABC,\)
\(\angle A+\angle B+\angle C=180^o\)
Also, in \(\triangle DEF,\)
\(\angle D+\angle E+\angle F=180^o\)
\(\therefore \angle A+\angle B+\angle C+\angle D+\angle E+\angle F=360^o\)
=4 X 90^o
Hence,k=4 right angles.

Two complementary angles  are such that two times the measure of one to three times the measure of the other .Find the measure of the largest angle.

2

(a)

Find the supplement of \(\frac { 4 }{ 3 } \) of right angle

2

(a)

ABCDE is a regular pentagon as shown in the given figure Find the values \(\angle x\angle y\angle z\)

2

(a)

In figure lines XY and MN intersect at O .If \(\angle \)POY and a:b=2:3,find c

3

(a)

In figure \(\angle \)PQR=\(\angle \)PRQ then prove that \(\angle \) PQS=\(\angle \)PRT

3

(a)

In figure if AB||CD ,\(\angle \) APQ=\(50^{ 0 }\) and \(\angle \)PRD=\(127^{ 0 }\) find x and y.

 

3

(a)

Ray OE bisects \(\angle \)AOB and OF the ray opposite to OE Show that \(\angle \)FOB=\(\angle \)FOA

5

(a)

In the given figure , two straight lines PQ and RS intersect each other at O
If \(\angle \)POT =\(75^{ 0 }\) Find the values of a,b,c

5

(a)

If two lines are perpendicular to the same line prove that they are parallel to each other.

5

(a)

In the figure below \(l_{ 1 }||l_{ 2 }\) and \(a_{ 1 }||a_{ 2 }\) find the value of x.

5

(a)