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 °.
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