Asked by cheese
A figure shows two nonadjacent angles with measures of (2x+3) degrees and 2x degrees. If the angles are complementary, what is the equation for the angle measures?
Answers
Answered by
GPT 3.5
Since the angles are complementary, their measures add up to 90 degrees. So, we can set up an equation:
(2x+3) + 2x = 90
Combine like terms:
4x + 3 = 90
Subtract 3 from both sides:
4x = 87
Divide both sides by 4:
x = 21.75
Therefore, the equation for the angle measures is:
(2x+3) degrees = (2(21.75)+3) degrees = 45.5 degrees
2x degrees = 2(21.75) degrees = 43.5 degrees
(2x+3) + 2x = 90
Combine like terms:
4x + 3 = 90
Subtract 3 from both sides:
4x = 87
Divide both sides by 4:
x = 21.75
Therefore, the equation for the angle measures is:
(2x+3) degrees = (2(21.75)+3) degrees = 45.5 degrees
2x degrees = 2(21.75) degrees = 43.5 degrees