What are the two angle measures of complementary angles expressed as 3x° and (2x−5)°?
A. 21° and 69°
B. 33° and 57°
C. 19° and 71°
D. 30° and 60°
The two angles are complementary, which means that they add up to 90 degrees. We can set up an equation to represent this:
3x + (2x - 5) = 90
Combine like terms:
5x - 5 = 90
Add 5 to both sides:
5x = 95
Divide both sides by 5:
x = 19
Now we can substitute this value of x back into the expression for the angles:
3x = 3(19) = 57
2x - 5 = 2(19) - 5 = 38 - 5 = 33
So the two angle measures are 57° and 33°.
The answer is (B) 33° and 57°.