two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up to 90°) Show ur work

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

And we are told their difference is 36. Therefore:

Solve for the system of equations. Add b to both sides in the second equation:

Substitute this into the first:

Combine like terms;

Subtract 36:

Divide by 2:

So, b is 27 degrees.

Use the second equation again:

Now that we know b is 27, substitute:

Add 27 to both sides:

So, a is 63 degrees.

And we're done :)

me

step-by-step explanation: