In a right-angled triangle, the ratio of acute angles is 17:19. Find the difference between these sharp corners.

As you know, the sum of the angles of any triangle is 180 °, in a right-angled triangle one angle is already 90 °, so the sum of its acute angles is also 90 °.
It is known: ∠ А: ∠ В = 17: 19, we introduce the proportionality coefficient k, then ∠ А = 17k, ∠ В = 19k.
Let’s make the equation:
17k + 19k = 90 °;
36k = 90 °;
k = 90 °: 36;
k = (5/2) °;
k = 2.5 °.
Hence: ∠ A = 17 * 2.5 ° = 42.5 °, ∠ B = 19 * 2.5 ° = 47.5 °.
Find the difference in angles for this, subtract the smaller angle from the larger one:
∠ B – ∠ A = 47.5 ° – 42.5 ° = 5 °.
Answer: 5 °.