Question

please solve this question​

Answer 1

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➤ Answєr :-

$\implies\huge{\boxed{\sf{\red{f\:=\:100°}}}}$

$\implies\huge{\boxed{\sf{\orange{g\:=\:80°}}}}$

$\implies\huge{\boxed{\sf{\pink{e\:=\:80°}}}}$

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➤ Explαnαtíon :-

∠a + ∠b = 180° | linear pair axiom.

80° + ∠b = 180°

∠b = 180° - 80°

∠b = 100°

∠b = ∠f = 100° | Corresponding angles.

$\large{\boxed{\sf{\blue{ ∠f = 100°}}}}$

∠f + ∠e = 180°

100° + ∠e = 180°

∠e = 180° - 100°

∠e = 80˚ | linear pair axiom.

$\large{\boxed{\sf{\green{∠ e= 80°}}}}$

∠e = ∠g =80° | Vertically opposite angle.

$\large{\boxed{\sf{\pink{ ∠g = 80°}}}}$

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Answer 2

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➡ Explαnαtíon :-

⟹∠a + ∠b = 180° | linear pair axiom.

⟹80° + ∠b = 180°

⟹∠b = 180° - 80°

⟹ ∠b = 100°

⟹∠b = ∠f = 100° | Corresponding angles.

∠f=100°

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⟹ ∠f + ∠e = 180°

⟹ 100° + ∠e = 180°

⟹ ∠e = 180° - 100°

⟹∠e = 80˚ | linear pair axiom.

∠e=80°

∠e = ∠g =80° | Vertically opposite angle.

∠g=80°

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