What are the two angle measures of complementary angles expressed as 3x° and (2x−5)° ?(1 point)
Responses
33° and 57°
33 degrees and 57 degrees
21° and 69°
21 degrees and 69 degrees
30° and 60°
30 degrees and 60 degrees
19° and 71°
21° and 69°
how come? why wouldn't it be 19 and 71
Complementary angles add up to 90 degrees.
So, setting up an equation:
3x + (2x-5) = 90
5x - 5 = 90
5x = 95
x = 19
Therefore, the two angle measures are:
3x = 3(19) = 57 degrees
2x-5 = 2(19)-5 = 38-5 = 33 degrees
Thus, the complementary angles are 57° and 33°.