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

`(2x)/(2) = (152)/(2) \\ \\ x = 76`

The supplement measures 76°