The height to the hypotenuse is drawn in a right-angled triangle. What angles does this height form with the legs

The height to the hypotenuse is drawn in a right-angled triangle. What angles does this height form with the legs if the larger of the acute angles of this triangle is 53 °? 1. The angle with the smaller leg is °. 2. The angle with the large leg is

Given:
ABC – right-angled triangle, ∠B = 90 °, ∠A = 53 °, AB – smaller leg, BC – larger leg.
Find: angle НBA; angle НБС.
Decision:
Angle C = 180 ° -90 ° -53 ° = 37 °;
1) Angle HBA = 180 ° -90 ° -53 ° = 37 ° (with a smaller leg);
2) Angle HBC = 180 ° -90 ° -37 ° = 53 ° (with a large leg).
Answer: angle НВА = 37 °, angle НВС = 53 °