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

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The measure of an angle is 28 degrees less than

breiajr

12.03.2022

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°

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