Read the Source/ Text given below and answer these questions: Onc…

Question

Read the Source/ Text given below and answer these questions: Once the Maths teacher of class IX D told students that today we will prove that the sum of all three angles is 180°. As shown in the figure, he told to draw any triangle ABC in the notebook. Further side BC was extended to D.

Now the teacher said to draw CE || BA. Further angles were named 1 to 5 as shown in the figure. Now answer the following questions:

BA || CE and AC is the transverse line, So $\angle1$ is equal to which angle?

$\angle2$
$\angle3$
$\angle4$
$\angle5$

$\angle2$ is equal to which angle?

$\angle2$
$\angle3$
$\angle4$
$\angle5$

What is value of $\angle3+\angle4+\angle5?$

180°
120°
200°
360°

What is value of $\angle\text{ECD}=\angle4+\angle5?$

$\angle3+\angle5$
$\angle1+\angle2$
$\angle2+\angle3$
$\angle3+\angle4$

What is value of $\angle1+\angle2+\angle3?$

$\angle3+\angle4+\angle5=180^\circ$
$360^\circ$
$\angle3+\angle4=100^\circ$
$280^\circ$

✓

Answer

(i)	(c)	$\angle4$
(ii)	(d)	$\angle5$
(iii)	(a)	180°
(iv)	(b)	$\angle1+\angle2$
(v)	(a)	$\angle3+\angle4+\angle5=180^\circ$

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