Question

A diagonal of a rectangle is inclined to one side of the rectangle at 25°. What is the measure of acute angle between the diagonals?​

Answer 1

Answer:

$\huge\sf{\pink{\underline{\underline {♡αղsաҽɾ}}}}$

According to figure,

OAD = 25°

So ODA = 25° from symmetry of a rectangle.

So AOD = 180 - 25 - 25 = 130°

Hence, the acute angle between diagonals : 180 - 130 = 50°

=============================

OR,

OAD = 25° So BAO = 90 - 25 = 65°

Since ABO = BAO, it is also 65°

Hence, BOA = 180 - 65 - 65 = 50°

Answer 2

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°

Step-by-step explanation:

Mark me as brainliest and follow also give thanks