1.

In □ PQRS, ∠ R = 60°. Find the ratio ∠ R : ∠ Q 

Answer»

∠Q and ∠ R is a pair of adjacent angles of parallelogram PQRS. 

∴ ∠Q and ∠ R = 180° 

∴ ∠Q = 180 - 60 = 120 

∴ ∠ R : ∠Q = 60 : 120 = 1 : 2



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