CH – the height drawn to the hypotenuse of a right-angled triangle ABC with a right

CH – the height drawn to the hypotenuse of a right-angled triangle ABC with a right angle C find the angle ACH if the angle B is 40 degrees.

In a right-angled triangle ВСН, the angle В is equal to 40 °, which means the angle НСВ = 90 ° – В = 90 ° – 40 ° = 50 °.

Angle С = 90 °, it consists of two angles: АСН and НСВ, so the angle АСН can be calculated if the angle НСВ is subtracted from the angle С.

<ACH = 90 ° – 50 ° = 40 °.

Another way: <ACH = <B (angles with mutually perpendicular sides:

CH perpendicular to AB, AC perpendicular to BC).

<ACH = 40 °.