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Maths 2 Mark Question

Constructions · Maharashtra Board STD 7 (MSBSHSE - English Medium). 3 questions.

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2 Mark Question

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Question 12 Marks
In a $\triangle\text{ABC},$ If $\angle\text{A}=65^\circ,\angle\text{B}=45^\circ,$ find $\angle\text{C}.$
Answer
$\text{In }\triangle\text{ABC},\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$
$\Rightarrow65^\circ+45^\circ+\angle\text{C}=180^\circ$
$\Rightarrow\angle\text{C}=180^\circ-110^\circ=90^\circ$
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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)
$\angle\text{BCA}+\angle\text{ACE}+\angle\text{ECD}=180^\circ$ $\angle\text{BCA}=180^\circ-120^\circ$ $\angle\text{BCA}=60^\circ$
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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:
  1. $\angle\text{BOD}$
  2. $\angle\text{BOC}$
Answer
  1. $\angle\text{AOC}=\angle\text{BOD}=50^\circ$ [vertically opposite angles]
  2. $\angle\text{BOC}=180^\circ-50^\circ=130^\circ$ (linear pair)
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2 Mark Question - Maths STD 7 Questions - Vidyadip