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Elodia [21]
3 years ago
5

Find the value of x, question and choices attached above

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

<h2>E. 22</h2>

Step-by-step explanation:

<em>Look at the picture</em>.

The lines <em>l</em> and <em>m</em> are parallel, therefore alternate interior angles are congruent.

Therefore \beta=50^o

Supplementary angles add up to 180°.

Therefore

(5x-16)+\theta=180          <em>add 16 to both sides</em>

5x+\theta=196         <em>subtract 5x from both sides</em>

\theta=196-5x

We know: the sum of the triangle angle measures is 180°.

Therefore we have the equation:

50+2x+196-5x=180\\\\-3x+246=180\qquad\text{subtract 246 from both sides}\\\\-3x=-66\qquad\text{divide both sides by (-3)}\\\\x=22

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