5. Two complementary angles are expressed in terms of (2x-6) and (2x). Write and solve an equation for x, and give the measure of the 2 angles. show your workno diagrams please
Two angles are considered complementary if their sum is equal to 90 degrees.
Let's call the angle expressed as (2x-6) A and the angle expressed as (2x) B.
The equation for the sum of the angles A and B is A + B = 90.
Substituting the expressions for A and B into the equation:
(2x-6) + (2x) = 90.
Combine like terms:
4x - 6 = 90.
Add 6 to both sides:
4x = 96.
Divide both sides by 4:
x = 24.
Now, we can find the value of the angles A and B:
Angle A = (2x-6) = 2(24) - 6 = 48 - 6 = 42 degrees.
Angle B = (2x) = 2(24) = 48 degrees.
Therefore, the measure of the two angles are 42 degrees and 48 degrees.