Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e3f59b460d7261f4ef.png' /> In the above fig, if $PQ \perp PS$, $PQ \parallel SR$, $\angle SQR = 28^{\circ}$ and $\angle QRT = 65^{\circ}$, then find the value of $y$.

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d4f59b460d7261f4d9.png' /> In the above fig, if $QT \perp PR$, $\angle TQR = 40^{\circ}$ and $\angle SPR = 30^{\circ}$, find $x$.

Question 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad778c526e972caf085.JPG' /> In the above fig, what kind of lines are represented by the figure?

Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad778c526e972caf086.JPG' /> In the above figure, lines PQ and RS intersect each other at point O. If $ \angle POR $ : $ \angle ROQ$ = 5 : 7, find $ \angle POS$ (in degrees).

Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e2f59b460d7261f4ee.png' /> In the above fig, if $PQ \perp PS$, $PQ \parallel SR$, $\angle SQR = 28^{\circ}$ and $\angle QRT = 65^{\circ}$, then find the value of $x$.

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1cff59b460d7261f4d2.png' /> In the above fig, there are two pairs of vertically opposite angles. One pair is $\angle AOD$ and $\angle BOC$. Can you find the other pair?

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1daf59b460d7261f4e2.png' /> In the above fig, if $ AB \parallel CD$, $CD \parallel EF$ and $y : z = 3 : 7$, find $x$.

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d2f59b460d7261f4d6.png' /> In the above fig, $AB \parallel CD$ and $CD \parallel EF$. Also $EA \perp AB$. If $\angle BEF = 55^{\circ}$, find the value of $y$.

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad778c526e972caf086.JPG' /> In the above figure, lines PQ and RS intersect each other at point O. If $ \angle POR $ : $ \angle ROQ$ = 5 : 7, find $ \angle SOQ$ (in degrees).

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad978c526e972caf08d.PNG' /> In the above fig, if $PQ \parallel ST$, $\angle PQR = 110^{\circ}$ and $\angle RST = 130^{\circ}$, find $\angle QRS$.

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e0f59b460d7261f4eb.png' /> In the above fig, $\angle X = 62^{\circ}$, $ \angle XYZ = 54^{\circ}$. If YO and ZO are the bisectors of $ \angle XYZ$ and $\angle XZY$ respectively of $\Delta XYZ$, find $\angle YOZ$.

Question 12 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e1f59b460d7261f4ec.png' /> In the above fig, if $AB \parallel DE$, $ \angle BAC = 35^{\circ}$ and $\angle CDE = 53^{\circ}$, find $\angle DCE$.

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d5f59b460d7261f4da.png' /> In the above fig, if $QT \perp PR$, $\angle TQR = 40^{\circ}$ and $\angle SPR = 30^{\circ}$, find $y$.

Question 14 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e2f59b460d7261f4ed.png' /> In the above fig, if lines PQ and RS intersect at point T, such that $\angle PRT = 40^{\circ}$, $\angle RPT = 95^{\circ}$ and $\angle TSQ = 75^{\circ}$, find $\angle SQT$.

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad978c526e972caf08b.JPG' /> In the above figure, lines XY and MN intersect at O. If $\angle POY = 90^{\circ}$ and $a : b = 2 : 3$, find $c$.

Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d8f59b460d7261f4df.PNG' /> In the above fig, find the value of $x$.

Question 17 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d3f59b460d7261f4d8.png' /> In the above fig, $AB \parallel CD$ and $CD \parallel EF$. Also $EA \perp AB$. If $\angle BEF = 55^{\circ}$, find the value of $z$.

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d6f59b460d7261f4dc.png' /> In the above figure, lines AB and CD intersect at O. If $ \angle AOC + \angle BOE = 70^{\circ} $ and $ \angle BOD = 40^{\circ}$, find $ \angle BOE$ and reflex $\angle COE$.

Question 19 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad978c526e972caf08c.JPG' /> In the above figure, $\angle PQR = \angle PRQ$, then is $\angle PQS = \angle PRT$?

Question 20 :
If a transversal intersects two parallel lines, then is each pair of interior angles on the same side of the transversal supplementary?