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Question 24 Marks
In the given figure, $\triangle ABC$ is an equilateral triangle whose side BC has been produced in both the directions to D and E respectively. Prove that $\angle ACD =\angle ABE$.

Image
Answer
$x=45^{\circ}$
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Question 34 Marks
Use the given figure to express:
(i) $a$ in terms of $b$ and $f$;
(ii) $e$ in terms of $f$ and $g$;
(iii) $d$ in terms of $a$ and $e$;
(iv) $c$ in terms of $e$ and $g$.
Image
Answer
(i) $a=f-b$, (ii) $e=g-f$, (iii) $d=a+e$, (iv) $c=e+\left(180^{\circ}-g\right)$
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[4 marks sum] - MATHS STD 7 Questions - Vidyadip