Question

from the given figure, find the measuremet of each angles with proper
reasons when ab =cd
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Answer 1

Answer:

Step-by-step explanation:

Given: l∥mt is a transversal.∠1:∠2 = 5:7Let the angles measure 5x and 7x.  ∠1+∠2 = 180°                   (linear pair)∴ 5x + 7x = 180                   or 12x = 180or x = 15∴ ∠1 = 5x = 5(15) = 75°and ∠2 = 7x = 7(15) = 105° ∠2+∠3 = 180°                 (linear pair)∠3 = 180−105 = 75°∠3+∠6 = 180                     (interior angles on the same side of the transversal are supplementary)∠6 = 180−∠3 = 105°and ∠6 =∠8 =105°            (vertically opposite angles)∴ ∠1 = 75°      ∠2 = 105°      ∠3 = 75°      ∠8 = 105°