Question

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.

Answer 1

Angles are 36,54 and 90 degrees

Explanation:

Since it is a right triangle, one angle is obviously 90° and the sum of the other two will also be 90° (since a triangle's angles are 180°). One is X and the other is 18+X, sum both equations and equal them to 90°, and when you get X substitute in the equations

Answer 2

90°, 54° and 36°

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°