The measure of one angle of a right triangle is 12 degrees more than the measure of the smallest angle. Find the measures of all three angles.

90°, 51° and 39°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Let the smallest angle be x then the other angle is x + 12, thus

x + x + 12 + 90 = 180, that is

2x + 102 = 180 (subtract 102 from both sides)

2x = 78 (divide both sides by 2)

x = 39

The other angle is 39 + 12 = 51

The 3 angles are 90°, 51° and 39°