What are the two angle measures of complementary angles expressed as 3x degree and (2x-5) degree

1 answer

Complementary angles are two angles whose measures sum up to 90 degrees. Therefore, we can set up the equation 3x + (2x - 5) = 90 and solve for x.

Combining like terms, we have 5x - 5 = 90.
Adding 5 to both sides of the equation, we get 5x = 95.
Finally, dividing both sides by 5, we obtain x = 19.

Now that we know x = 19, we can substitute it into the expressions for the angle measures to find their values.

The first angle measure is 3x = 3 * 19 = 57 degrees.
The second angle measure is 2x - 5 = 2 * 19 - 5 = 38 - 5 = 33 degrees.

Therefore, the two angle measures of the complementary angles are 57 degrees and 33 degrees.