Right triangle has an angle that is 58deg…what is the measure of the 3rd angle? show work

1 answer

In a right triangle, one angle is always 90 degrees. Let's call the angle that is 58 degrees as angle A. The sum of the angles in any triangle is always 180 degrees.

Thus, we can use the formula:
angle A + angle B + angle C = 180

Substituting the values:
58 + angle B + 90 = 180

Simplifying the equation:
148 + angle B = 180

Subtracting 148 from both sides of the equation:
angle B = 180 - 148

angle B = 32 degrees

Therefore, the measure of the third angle in the right triangle is 32 degrees.