Question 1 :
It is given that $\angle XYZ = 64^{\circ}$ and XY is produced to point P. If ray YQ bisects $ \angle ZYP$, find reflex $\angle QYP$.
Question 2 :
The sum of the angles of a triangle is 180º. Is it true?
Question 3 :
If a ray stands on a line, then the sum of two adjacent angles so formed is
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 POR$ (in degrees).
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/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 7 :
<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 8 :
<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 9 :
<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 10 :
If a transversal intersects two parallel lines, then each pair of corresponding angles is equal. Is this true?
Question 11 :
State true or false: 7 + 3x is a factor of $3x^3 + 7x$.