Question

1 1 point

What is the measure of the smallest angle in the right triangle below?
(2x)
(x + 6)°
28°
56°
34°
12°

Answer 1

34°

Explanation:

If we assume that the acute angles in the triangle are 2x and (x+6), then we have ...

2x +(x +6) = 90

3x +6 = 90 . . . . . . simplify

x + 2 = 30 . . . . . . . divide by 3

x = 28 . . . . . . . . . . subtract 2

Then the angles are ...

2x = 2(28) = 56

x+6 = 28+6 = 34

The smallest angle is 34°.