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eimsori [14]
3 years ago
12

Find the value of x. How do you know your answer is correct.

Mathematics
2 answers:
Nonamiya [84]3 years ago
6 0

3x - 20 + 2x = 180 because the angle on a straight line is 180 degrees

5x = 200

x = 40

34kurt3 years ago
4 0

Answer: x = 32

<u>Step-by-step explanation:</u>

(3x - 20°) and 2x° form a linear pair (because they are adjacent and on a straight angle). Linear Pairs are supplementary which means their sum is 180°

3x - 20 + 2x = 180     <em>Sum of supplementary angles equal 180°</em>

<em>        </em>  5x - 20 = 180   <em>Simplify (added like terms of 3x and 2x)</em>

                 5x = 200  <em>Addition Property of Equality</em>

                   x = 40     <em>Division Property of Equality</em>

Check:

3x - 20 = 3(40) - 20   = 120 - 20   = 100    ---> ∠(3x - 20) = 100

2x = 2(40)   = 80   ---------------------------------------->    ∠(2x) =<u>  80 </u>

                                                                   sum of angles = 180


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