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

a. 65°
b. 75°
c. 85°
d. 95°

User Ian Renton
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1 Answer

3 votes

Final answer:

To find the acute angle between the diagonals of a rectangle inclined at 25°, subtract that angle from 90°.

Step-by-step explanation:

To find the acute angle between the diagonals of a rectangle, we need to determine the measure of one of the acute angles formed by the diagonals. Since the given diagonal is inclined at 25° to one side of the rectangle, we can subtract this angle from 90° (since the sum of angles in a rectangle is 90°) to find the acute angle between the diagonals. So, the acute angle between the diagonals is 90° - 25° = 65°. Therefore, the correct answer is option a. 65°.

User Ilia Kurtov
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