1.

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. Then find the acute angle between the diagonals.

Answer»

According to figure,

In ΔOCD,

∠ODC + ∠OCD + ∠COD = 180°

⇒ 25° + 25° + ∠COD = 180°

⇒ ∠COD = 130°

Acute angle i.e. ∠DOA between the diagonals 

= 180° – ∠DOC 

= 180° – 130° = 50°



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