Answer:
One of the angles is 53 degrees and the other is 37 degrees.
Step-by-step explanation:
Let x be equal to the measure of the first angle.
Let y be equal to the measure of the second angle.
Because x and y are complementary, they add up to 90 degrees.
x+y=90
The question tells us that x and y have a difference of 16.
x-y=16
Now that we have our two equations, we can use the method of elimination to find the value of x (process is in the picture attached). We do this by adding the two equations since y will cancel out.
x=53
Finally, we can plug x back into either of the original equations to find the value of y.
x+y=90
53+y=90
Subtract both sides by 53 to isolate y
53+y-53=90-53
y=37
I hope this helps!
