Answer
The angle we are looking for is $53$ degrees.
Work Step by Step
We know that complementary angles add up to $90$ degrees.
Let us set one angle equal to $x$.
Since the other angle is 16 degrees more than its complement, we will set this angle as $x + 16$.
The equation we can use is:
$$x + (x + 16) = 90$$
Distribute what is in parentheses to simplify the problem:
$$x + x + 16 = 90$$
Simplify by adding the $x$ terms together:
$$2x + 16 = 90$$
Subtract $16$ from both sides of the equation to isolate constants on the other side of the equation:
$$2x = 74$$
Solve for $x$ by dividing both sides of the equation by $2$:
$$x = 37$$
If one angle is $37$ degrees, then we can figure out the other angle is $16$ more than this angle:
2nd angle = $37 + 16$
The 2nd angle is $53$ degrees.
