What are the two angle measures of complementary angles expressed as 3x degree and (2x - 5) degree?
Options:
30 and 60 degree
19 and 71 degree
33 and 57 degree
21 and 69 degree
To find the measures of complementary angles, we set up an equation:
3x + (2x - 5) = 90
Combining like terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 95
Dividing both sides by 5:
x = 19
Now we can substitute this value of x back into the expressions for the angles:
The first angle is 3x = 3(19) = 57 degrees.
The second angle is 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees.
Therefore, the correct answer is 33 and 57 degrees.