I figured displays two non-adjacent angles with the measures of 3X degrees and 4X +1°. If the angles are complementary, what is the simplified equation corresponding to the measures of the angles

1 answer

Given that the two angles are complementary, their measures add up to 90 degrees.

Therefore, the equation corresponding to the measures of the angles is:
3X + 4X + 1 = 90

Simplify the equation:
7X + 1 = 90

Subtract 1 from both sides:
7X = 89

Divide by 7:
X = 89/7

Therefore, the simplified equation corresponding to the measures of the angles is:
X = 12.71

So, the first angle measures:
3(12.71) = 38.13 degrees

And the second angle measures:
4(12.71) + 1 = 51.84 degrees