Two complimentary angles are expressed in terms of (2x-6) and (2x)
Write and solve an equation for x and give the measure of the two angles
To find two complementary angles, we can set up the equation:
(2x-6) + (2x) = 90
Combining like terms:
4x - 6 = 90
Adding 6 to both sides:
4x = 96
Dividing both sides by 4:
x = 24
Substituting x back into the original expressions:
First angle: 2x-6 = 2(24)-6 = 42 degrees
Second angle: 2x = 2(24) = 48 degrees
Therefore, the measure of the two angles is 42 degrees and 48 degrees.