Question

Two supplementary angles are (2x -15) and (x + 30)
. Find
the angles

Answer 1

Supplementary angles are angles whose sum is 180°.

$2x-15+x+30=180$

              $3x+15 = 180$                  combined like terms, 2x + x and (-15) + 30

      $3x+15-15 = 180 - 15$          subtract 15 to both sides.

                      $3x = 165$              

                      $\frac{3x}{3}= \frac{165}{3}$                   divide 3 to both sides

                       $x = 55$

• First angle: 2x - 15

        $= 2x-15\\= 2(55)-15\\= 110 - 15\\= 95$

       The first angle is 95°.

• Second angle: x + 30

        $=x+30\\=55+30\\= 85$

       The second angle is 85°.

• To be sure:

        $95 + 85 = 180$

Answer:

The two supplementary angles are 95° and 85°.

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Title: Algebra - How to Solve Equations Quickly!

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