Question

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Answer 1

Answer:

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Answer 2

$\huge\star$$\huge\mathbb\blue{ Answer }$$\huge\star$

${\underline{\mathfrak{\green{Given : }}}}$

$\mathtt{line\: L\: || M \:}$

$\mathtt{n \: is\: transversal }$

$\mathtt{∠1 \: = \: 40° }$

${\underline{\mathfrak{\purple{To\: Find : }}}}$

$\mathtt{\angle2 \: \angle3\:, \angle4\:, \angle5\:, \angle6\:, \angle7\:, \angle8 }$

${\underline{\mathfrak {\orange{Solution}}}}$

$\mathtt{ \angle1 \:+\: \angle2\: = \:180°}$

$\mathtt{ 40° \:+\: \angle2\: = \:180°}$

$\mathtt{ \angle2\: = \:180°\: - \:40° }$

${\boxed{\mathtt{\red{ \angle2\: = \:140°}}}}$

$\mathtt{ \angle1 \:=\: \angle3\: = \:40° (vertically\: opposite\:angle)}$

${\boxed{\mathtt{\red{ \angle3\: = \:40°}}}}$

$\mathtt{ \angle2 \:=\: \angle4\: = \:140° (vertically\: opposite\:angle)}$

${\boxed{\mathtt{\red{ \angle4\: = \:140°}}}}$

$\mathtt{ \angle1 \:=\: \angle5\: = \:40° (corresponding\:angle)}$

${\boxed{\mathtt{\red{ \angle5\: = \:40°}}}}$

$\mathtt{ \angle2 \:=\: \angle6\: = \:140° (corresponding\:angles)}$

${\boxed{\mathtt{\red{ \angle6\: = \:140°}}}}$

$\mathtt{ \angle5 \:=\: \angle7\: = \:40° (vertically\: opposite\:angle)}$

${\boxed{\mathtt{\red{ \angle7\: = \:40°}}}}$

$\mathtt{ \angle6 \:=\: \angle8\: = \:140° (vertically\: opposite\:angle)}$

${\boxed{\mathtt{\red{ \angle8\: = \:140°}}}}$