Question

please answer this question fast step by step explanation​

Answer 1

Answer:

∠P = 93°

Step-by-step explanation:

According to the properties of transversals in parallel lines,  alternate interior angles are equal,

∴ ∠A = ∠D as they are the alternate interior angles of lines AB and CD

∠A = ∠D

∠57° = ∠57°

According to angle sum property of Δ, all angles should add up to 180°

i.e, ∠P + ∠D + ∠C = 180°

∠P + 30° + 57° = 180°

∠P = 180 - (30+57)

∠P = 180 - 87

∠P = 93°//

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