Question

in the following figure, l || m and t is their transversal. If <XPB=75°, find <PQD, <CQY AND <APQ. ​

Answer 1

∠XPB =∠PQD = 75° (alternate angles)

∠APQ= ∠XPB= 75° (Vertically opp. angles)

∠CQY= ∠PQD= 75° (Vertically opp. angles)

Answer 2

Given : l || m and t is their transversal

Step-by-step explanation:

in the figure

, l || m and t is their transversal

thus

∠XPB = 75°

THEREFORE

∠PQD = ∠XPB = 75° (corresponding angles)

∠CQY =∠PQD =75° (Vertical opposite angle)

∠APQ= ∠XPB = 75° (Vertical opposite angle)

hence , The angles are equal to 75°

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