Question

in fig, l parallel m, angle ABC=35 degree and angle APQ=40degree .find x​

Answer 1

Answer:

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Step-by-step explanation:

∠ACB = 40° ---( l II m and PC is transversal, ∴ alternate interior angle)

in triangle ABC, ∠CAB + ∠ABC + ∠ACB = 180° ----- (Angle Sum Property)

∠CAB + 35° + 40° = 180°

∠CAB + 75° = 180°

∠CAB = 180°-75°

∠CAB = 105°

∠CAB + ∠QAC = 180° --- (linear pair)

105° + ∠QAC = 180°

∠QAC = 180° - 105°

∠QAC = 75°

∴ ∠x = 75°

Answer 2

Answer:

answer is in attached pic