Question
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
✓
Answer
∵ Lines are parallel
∠a = ∠1 and ∠c = ∠2 .........(alternate angles)
But ∠1 + 115° = 180° .........(linear pair)
∴ ∠1 = 180°− 115° = 65°
Similarly ∠2 + 120° = 180°
∴ ∠2 = 180°− 120° = 60°
∴ ∠a = ∠1 = 65°, ∠c = ∠2 = 60°
But a + c + c = 180° ............(angles on a line)
⇒ 65° + b + 60° = 180°
⇒ b + 125° = 180°
⇒ b = 180°− 125° = 55°
Hence a = 65°, b = 55°, c =60°
∠a = ∠1 and ∠c = ∠2 .........(alternate angles)
But ∠1 + 115° = 180° .........(linear pair)
∴ ∠1 = 180°− 115° = 65°
Similarly ∠2 + 120° = 180°
∴ ∠2 = 180°− 120° = 60°
∴ ∠a = ∠1 = 65°, ∠c = ∠2 = 60°
But a + c + c = 180° ............(angles on a line)
⇒ 65° + b + 60° = 180°
⇒ b + 125° = 180°
⇒ b = 180°− 125° = 55°
Hence a = 65°, b = 55°, c =60°
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(a) $15 \%$ $\quad$$\quad$(b) $20 \%$ $\quad$$\quad$(c) $25 \%$ $\quad$$\quad$(d) $30 \%$
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(a) $70 \%$ $\quad$$\quad$(b) $75 \frac{1}{2} \%$$\quad$$\quad$ (c) $80 \%$ $\quad$$\quad$(d) $87 \frac{1}{2} \%$
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