Question

Find the value of x, question and choices attached above

Answer 1

Answer:

E. 22

Step-by-step explanation:

Look at the picture.

The lines l and m are parallel, therefore alternate interior angles are congruent.

Therefore $\beta=50^o$

Supplementary angles add up to 180°.

Therefore

$(5x-16)+\theta=180$          add 16 to both sides

$5x+\theta=196$         subtract 5x from both sides

$\theta=196-5x$

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

Therefore we have the equation:

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