Questions

2 Marks Questions

Take a timed test

3 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
In a $\triangle\text{ABC},$ If $\angle\text{A}=65^\circ,\angle\text{B}=45^\circ,$ find $\angle\text{C}.$
Answer
$\text{In }\triangle\text{ABC},\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$
$\Rightarrow65^\circ+45^\circ+\angle\text{C}=180^\circ$
$\Rightarrow\angle\text{C}=180^\circ-110^\circ=90^\circ$
View full question & answer
Question 22 Marks
In the given figure, $\text{CE}||\text{BA}.$ If $\angle\text{BAC}=70^\circ$ and $\angle\text{ECD}=50^\circ,$ find $\angle\text{ACB}.$
Answer
Here $\text{AB}||\text{EC}$
$\therefore\angle\text{BAC}=\angle\text{ACE}=70^\circ$ (alternate angles)
$\angle\text{BCA}+\angle\text{ACE}+\angle\text{ECD}=180^\circ$
$\angle\text{BCA}=180^\circ-120^\circ$
$\angle\text{BCA}=60^\circ$
View full question & answer
Question 32 Marks
In the given figure, two straight lines $AB$ and $CD$ intersect at a point $O$ such that $\angle\text{AOC}=50^\circ.$ Find:
$i. \angle\text{BOD}$
$ii. \angle\text{BOC}$
Answer
$i. \angle\text{AOC}=\angle\text{BOD}=50^\circ [$vertically opposite angles$]$
$ii. \angle\text{BOC}=180^\circ-50^\circ=130^\circ ($linear pair$)$
View full question & answer