Complementary angles are two angles whose measures add to a sum of 90 degrees. This can be expressed as the following formula:
A1 + A2 = 90
Substitute any known values into the equation above:
(2x + 1) + (x – 7) = 90
2x + 1 + x – 7 = 90
Combine like terms:
3x – 6 = 90
Add 6 to both sides of the equation:
3x = 96
Divide 3 from both sides of the equation:
x = 32
When (2x + 1) and (x – 7) are complementary, “x” is equal to 32.
I hope this helps!
