Question 1 :
<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 2 :
<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 3 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d7f59b460d7261f4de.PNG' /> In the above figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Then, $ \angle ROS =\frac{1}{2} (\angle QOS – \angle POS)$. True or False.

Question 4 :
If a ray stands on a line, then the sum of two adjacent angles so formed is

Question 5 :
<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 6 :
<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 7 :
<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 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad878c526e972caf087.JPG' /> In the above fig, what kind of angles represented by the figure?

Question 9 :
If a transversal intersects two lines such that a pair of alternate interior angles is equal, then are the two lines parallel?

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1ddf59b460d7261f4e6.png' /> In the above fig, if $AB \parallel CD$, $\angle APQ = 50^{\circ}$ and $\angle PRD = 127^{\circ}$, find $x$.

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1d5f59b460d7261f4db.PNG' /> In the above fig, the sides AB and AC of $\Delta ABC$ are produced to points E and D respectively. If bisectors BO and CO of $\angle CBE$ and $\angle BCD$ respectively meet at point O, then $\angle BOC = 90^{\circ} –\frac{1}{2} \angle BAC$. Is it correct ?

Question 12 :
<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 13 :
If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal. Is it true?

Question 14 :
Lines which are parallel to the same line are parallel to each other. Is it true?

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e0f59b460d7261f4ea.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 $\angle OZY$.