Question

The measure of an angle is 28 degrees less than its supplement. find the supplement

Answer 1

Supplementary angles measure 180°. Make an equation:

$x+(x+28) = 180$

Subtract 28 to leave the variable in the parentheses alone:

$x+(x+28-28) =180-28 \\ x+x = 152$

Add the 2 x's together:

$x+x = 2x$

Your new equation is:

$2x=152$

Divide both sides by 2 to leave the variable alone

$\frac{2x}{2} = \frac{152}{2} \\ \\ x = 76$

The supplement measures 76°