One diagonal of a rectangle is inclined at 25° to one side of the rectangle. The acute angle between the diagonals is

Question

Question

This question was previously asked in

Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)

Answer 1

Calculations:

F1 Railways Priya 22 5 24 D7

As AD = BC and DC is common

⇒ ΔADC and ΔBDC are congruent

⇒ ∠ACD = ∠BDC = 25°

In ΔDOC,

∠DOC = 180° - (25 + 25) = 130°

⇒ ∠DOA = 180° - 130° = 50°

∴ The acute angle between the diagonals is 50°.