Question

FIND ALL THE ANGLES ​

Answer 1

To Find:

• ∠a, ∠b, ∠c and ∠d

Solution:

∠c = 75° [Vertically opposite angles]

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If L || M and P is a transversal, we get:

∠c + ∠a = 180° [Co-interior angles]

75° + ∠a = 180°

∠a = 180° - 75°

∠a = 105°

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If P || Q and M is a transversal, we get:

∠c + ∠d = 180° [Co-interior angles]

75° + ∠d = 180°

∠d = 180° - 75°

∠d = 105°

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If P || Q and L is a transversal, we get:

∠a + ∠b = 180° [Co-interior angles]

105° + ∠b = 180°

∠b = 180° - 105°

∠b = 75°

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Hence, ∠a = 105°, ∠b = 75°, ∠c = 75° and ∠d = 105°