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Answer:
(a) 55 (b) 140 (c) 60
Step-by-step explanation:
(a) x° = 55° [alternate exterior angles are equal for parallel lines]
⇒ x = 55
(b) The angle opposite to x° = x° [vertically opposite angles are equal]
∴ x° + 40° = 180° [co-interior angles are supplementary for parallel lines]
⇒ x° = 180° - 40°
⇒ x = 140
(c) x° + 2x° = 180° [co-interior angles are supplementary for parallel lines]
⇒ 3x° = 180°
⇒ x = 60
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