In the following figure, find the unknown angles a and b, if l || m.

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$80^{o}, 140^{o}$

$70^{o}, 110^{o}$

$40^{o}, 160^{o}$

$80^{o}, 150^{o}$

answer is B.

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Detailed Solution

Here, l || m
∠c = 110° (Corresponding angles)
∠c + ∠a = 180° (Linear pair)
⇒ 110° + ∠a = 180°
⇒ ∠a = 180° – 110° = 70°
Now ∠b = 40° + ∠a (Exterior angle of a triangle)
⇒ ∠b = 40° + 70° = 110°
Hence, the values of unknown angles are a = 70° and b = 110°

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