Question

Q9 in the given fig find why <1 = <2, and <3 =
<4 and <4 = <5.
1
2
5)
- m​

Answer 1

$\huge\color{orange}\boxed{\colorbox{black}{\tt{☣ANSWER☣}}}$

$\angle1 + \angle3 = 180 \degree$

$\angle1 = 180 \degree - \angle3$

AND,

$\angle2 + \angle3 = 180 \degree$

$\angle2 = 180 \degree - \angle 3$

SO,

$\angle1 = \angle2$

They are Vertically Opposite Angles

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$\angle3 = \angle5 \: \: (corresponding \: \angle \: s)$

$\angle3 = \angle4 \: \: \: (vertically \: oppo. \: \angle \:s)$

SO,

$\angle4 = \angle5$

They are alternate interior angles