Question
Find $x, y$ and $p$ is the given figure
✓
Answer
In the figure,
∵ Lines are parallel
∴ y = 110° .........(corresponding angles)
But 25° + p + 110° = 180° .........(angles on a line)
⇒ p + 135° = 180°
⇒ p = 180°− 135° = 45°
⇒ x + y + 25° = 180° ......(sum of angles of a triangle)
⇒ x + 110° + 25° = 180°
⇒ x + 135° = 180°
⇒ x = 180°− 135° = 45°
Hence x = 45°, y = 110° and p = 45°
∵ Lines are parallel
∴ y = 110° .........(corresponding angles)
But 25° + p + 110° = 180° .........(angles on a line)
⇒ p + 135° = 180°
⇒ p = 180°− 135° = 45°
⇒ x + y + 25° = 180° ......(sum of angles of a triangle)
⇒ x + 110° + 25° = 180°
⇒ x + 135° = 180°
⇒ x = 180°− 135° = 45°
Hence x = 45°, y = 110° and p = 45°
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