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Question 11 Mark
How many triangles can be drawn having its angles as $53^\circ , 64^\circ $ and $63^\circ ?$ Give reason for your answer.
Answer
None, the sum of given angles $= 45^\circ + 64^\circ + 72^\circ = 181^\circ \neq 180^\circ .$
Hence, we see that sum of all three angles is not equal to $180^\circ .$
So, no triangle can be drawn with the given angles.
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Question 21 Mark
For what value of $x + y$ in Fig. will $ABC$ be a line$?$ Justify your answer.
Answer
In the given figure, $x$ and $y$ are two adjacent angles.
For $ABC$ to be a straight line, the sum of two adjacent angles $x$ and $y$ must be $180^\circ $
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