Question 1 :
If a transversal intersects two parallel lines, then alternate interior angles have one common _________.
Question 2 :
If an angle is $60^{\circ}$ less than two times of its supplement, then the greater angle is
Question 3 :
State TRUE or FALSE. When the sum of the measures of two angles is 180°, the angles are called complementary angles. Each of them is called complement of the other.
Question 4 :
State TRUE or FALSE. Two right angles are always supplementary to each other.
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7d4f59b460d7261e798.PNG' />
In the above figure, are the pair of angles adjacent?
Question 6 :
State TRUE or FALSE. When the sum of the measures of two angles is 180°, the angles are called supplementary angles. Each of them is called supplement of the other.
Question 7 :
State TRUE or FALSE. Vertically opposite angles are either both acute angles or both obtuse angles.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7e2f59b460d7261e7ad.PNG' />
In the above figure, $l||m$ and a line t intersects these lines at P and Q, respectively. Find the sum 2a +b.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7bdf59b460d7261e777.PNG' />
In the above figure, $\text { POQ is a line. If } x = 30 ^ { \circ } \text { , then } \angle Q O R \text { is }$
Question 10 :
The angles between North and East and North and West are
Question 11 :
If a transversal intersects two parallel lines, then alternate interior angles are on the _________ side of the transversal.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7e6f59b460d7261e7b2.PNG' />
In the above figure, PQ, RS and UT are parallel lines. If $c = 75 ^ { \circ }$ and $a = \frac { 2 } { 5 } c$ , then find b.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7cbf59b460d7261e78b.PNG' />
In the above figure, if $PQ \| RS$ and $QR \| TS$, then the value of a is
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7d1f59b460d7261e794.PNG' />
In the above figure, if two angles have a common vertex and their arms form opposite rays. Then how many angles are formed?
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7e4f59b460d7261e7af.PNG' />
In the above figure, $QP \| RS$. Find the value of b.
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7cff59b460d7261e791.PNG' />
In the above figure, $l \| m \| n . \angle QPS = 35 ^ { \circ } \text { and } \angle QRT = 55 ^ { \circ } . \text { What is } \angle PQR?$
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7caf59b460d7261e78a.PNG' />
In the above figure, $PQ \| ST$. Then, the value of x + y is
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7dbf59b460d7261e7a2.PNG' />
In the above figure, it shows iron rods a, b, c, d,e and f are making a design in a bridge, in which $a \| b, c \| d, e \| f$. What are the marked angles between d and f?
Question 21 :
Two angles are complementary. If the larger angle is twice the measure of a smaller angle, then smaller is _____
Question 23 :
Vertically opposite angles do not from a linear pair but are always equal.
Question 24 :
Mark the correct alternative of the following.<br>In a $\Delta ABC$, if $2\angle A=3\angle B=6\angle C$, then the measure of the smallest angle is?<br>
Question 26 :
The measure of an angle which is four times its supplementary angle is:
Question 27 :
The angle that is three times as large as its complement is
Question 28 :
Line $l$,  line m, and point P lie in a plane such that $ l $|| $m$ and $P$ is between $ l $ and $m$. If line $t$ in the same plane passes through point $P$, which of the following could be true?<br/>I.$ t$ intersects $ l $  but not $m$.<br/>II. $t$ intersects both $ l $ and m.<br/>III. $t$ does not intersect either $ l $ or $m$.
Question 29 :
The line which is parallel to $x$-axis and crosses the curve $y=\sqrt { x } $ at an angle of ${ 45 }^{ o }$, is
Question 31 :
Lines PQ and RS intersect at O. If $\angle POR$ is three times$\angle ROQ$, then$\angle SOQ$ is
Question 32 :
Assertion: If two lines intersect, then the vertically opposite angles are equal.
Reason: If a transversal intersects, two other parallel lines, then the sum of two interior angles on the same side of the transversal is $180^o$.
Question 33 :
The measure of an angle which is 5 times its supplement is
Question 35 :
Find the measure of an angle which is one-fifth of its supplement.<br/>
Question 36 :
Consider the lines $\frac{x}{2} = frac{y}{3} = frac{z}{5}$ and $\frac{x}{1} = frac{y}{2} = frac{z}{3}$, then the equation of the line which
