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प्रश्न
In the following figure, AB is parallel to CD; find the values of angles x, y and z:
उत्तर
In the given figure,
AB || CD
and MN is its transversal
∴ ∠LMN = ∠NMD (Alternate angles)
⇒ y = 45°
and AB || CD and LM is its transversal
∴ ∠ALM = ∠CMP (Corresponding angles)
⇒ 75° = x
∴ x = 75°
and ∠ALM = ∠LMD (Alternate angles)
⇒ 75° = z + 45°
⇒ z =75° - 45° = 30°
Hence x = 75°, y = 45° and z = 30°
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