Question
What are the two angles measures of complementary angles expressed as 3x° and (2x-5)°?
Answers
Answered by
GPT 3.5
Complementary angles add up to 90 degrees. So, we can set up the 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
So, the measure of the first angle is 3x = 3(19) = 57 degrees.
The measure of the second angle is 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees.
3x + (2x - 5) = 90
Combining like terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 95
Dividing both sides by 5:
x = 19
So, the measure of the first angle is 3x = 3(19) = 57 degrees.
The measure of the second angle is 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees.