what are the two angle meause of complemtary angles expressed as 3x and 2x - 5 ?

1 answer

The two angle measures of complementary angles are 90 degrees, so we can set up an equation:

3x + 2x - 5 = 90

Combining like terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 95

Dividing by 5:

x = 19

Therefore, the two angle measures are:

3x = 3(19) = 57 degrees
2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees

So the complementary angles are 57 degrees and 33 degrees.