Question
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
✓
Answer
∵ Lines are parallel
∴ x = z ......(corresponding angles)
But z + y = 180° .........(linear pair)
But y = 55° ........(vertically opposite angles)
∴ z + 55° = 180°
⇒ z = 180°− 55°
⇒ z = 125°
But x = z
∴ x = 125°
Hence x = 125°, y = 55°, z = 125°
∴ x = z ......(corresponding angles)
But z + y = 180° .........(linear pair)
But y = 55° ........(vertically opposite angles)
∴ z + 55° = 180°
⇒ z = 180°− 55°
⇒ z = 125°
But x = z
∴ x = 125°
Hence x = 125°, y = 55°, z = 125°
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