Question

If an angle is 16 degrees less than the measure of its complement. What’s the measure of the angle?

Answer 1

Complementary angles add up to 90 degrees.

Make expressions for the angle and its complement;

• Angle: x
• Complement: x + 16

Make the angle and its complement add up to 90 in an equation.

(x) + (x + 16) = 90

• Combine like terms (x + x).

2x + 16 = 90

Subtract 16 from both sides.

2x = 74

• Divide both sides by 2.

x = 37

The measure of the angle is 37 degrees.

Answer 2

x-16+x=180

2x-16=180

2x=196

x=98 degrees

x-16= 82 degrees

Hope this helps!