The measure of one angle of a right triangle is 18 degrees more than the measure of the smallest angle. find the measures of all three angles.

90°, 54° and 36°

Step-by-step explanation:

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

Let x be the smallest angle then the other angle is x + 18, hence

x + x + 18 + 90 = 180, that is

2x + 108 = 180 ( subtract 108 from both sides )

2x = 72 ( divide both sides by 2 )

x = 36

thus x + 18 = 36 + 18 = 54

The 3 angles are 90°, 54° and 36°