Question

2x+1is one angle and x-7 is another. When these two angles are complementary angles what is x?

Answer 1

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!