Question
Download Solution PDFIn a right triangle, the two acute angles are in the ratio 4:5. Find the acute angles.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two acute angles of a right triangle are in the ratio 4:5.
Formula Used:
Sum of acute angles in a right triangle = 90º
Calculation:
Let the acute angles be 4x and 5x.
Sum of acute angles = 90º
4x + 5x = 90º
⇒ 9x = 90º
⇒ x = 90º / 9
⇒ x = 10º
Acute angles = 4x and 5x
⇒ 4 × 10º and 5 × 10º
⇒ 40º and 50º
The acute angles are 40º and 50º.
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