1.

In a quadrilateral ABCD, bisectors of angles A and B intersect at O such that ∠AOB = 75°, then write the value of ∠C + ∠D.

Answer»

∠AOB = 75° (given) 

In a quadrilateral ABCD, bisectors of angles A and B intersect at O, then

∠AOB = 1/2 (∠ADC + ∠ABC) 

or ∠AOB = 1/2 (∠D + ∠C) 

By substituting given values, we get 

75° = 1/2 (∠D + ∠C) 

or ∠C + ∠D = 150°



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