2 Marks Questions

Question 12 Marks

The measures of two angles of a triangle are $72^\circ $ and $58^\circ $. Find the measure of the third angle.

Answer

The measures of two angles of a triangle are $72^\circ $ and $58^\circ $. But measure of three angles of a triangle is $180^\circ $. Third angle will be $= 180 - (72^\circ + 58^\circ ) = 180^\circ - 130^\circ = 50^\circ $

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Question 22 Marks

Take three non-collinear points $A, B$ and $C$ on a page of your notebook. Join $AB, BC$ and $CA$. What figure do you get?Name:
$i.\ $The side opposite to $\angle\text{C}$.
$ii.\ $The angle opposite to the side $BC.$
$iii.\ $The vertex opposite to the side $CA.$
$iv.\ $The side opposite to the vertex $B.$

Answer

$A, B$ and $C$ are three non$-$collinear points in a plane. $AB, BC$ and $CA$ are joined.

$i.\ $The side opposite $\angle\text{C}$ is $AB.$
$ii.\ $The angle opposite to the side $BC$ is $\angle\text{A}.$
$iii.\ $The vertex opposite to the side $CA$ is $B.$
$iv.\ $The side opposite to the vertex $B$ is $CA.$

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