How do you find all the missing angles, if you know one of the acute angles of a right triangle?
The sum of the measures of all the angles in a triangle is always equal to
In a right triangle, however, one of the angles is already known: the right angle, or the
Let the other two angles be
Applying these conditions, we can say that,
That is, the sum of the two acute angles in a right triangle is equal to
If we know one of these angles, we can easily substitute that value and find the missing one.
For example, if one of the angles in a right triangle is