Question
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
✓
Answer
∵ Lines are parallel
∴ x = p
and p + 120° = 180° ........(alternate angles)
⇒ p = 180°− 120° = 60°
∴ x = 60°
q = 120° ........(corresponding angles)
y = 110° .........(vertically opposite angles)
and ∠1 + 110° = 180° .......(co-interior angles)
∴ ∠1 = 180°− 110° = 70°
But z = ∠1 .........(vertically opposite angles)
∴ ∠z = 70°
Hence x = 60°, y = 110°, z = 70°, p = 60°. q = 120°
∴ x = p
and p + 120° = 180° ........(alternate angles)
⇒ p = 180°− 120° = 60°
∴ x = 60°
q = 120° ........(corresponding angles)
y = 110° .........(vertically opposite angles)
and ∠1 + 110° = 180° .......(co-interior angles)
∴ ∠1 = 180°− 110° = 70°
But z = ∠1 .........(vertically opposite angles)
∴ ∠z = 70°
Hence x = 60°, y = 110°, z = 70°, p = 60°. q = 120°
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