Question

Please help me find the measure of x!?!!

Answer 1

21°

Explanation:

You've given two angles, and that BC and DE are parallel.

We know that ∠CAB, ∠BAD, and ∠DAF have to equal 180° because they're supplementary.

We also know that ∠BAD must equal 54° since ∠CBA and ∠BAD are alternate interior angles. (because BC and De are parallel.)

So we use the fact that ∠CAB(105), ∠BAD(54), and ∠DAF(or ∠x) =180

105°+54°+∠x=180

∠x= 21°

Hope that helps!

Answer 2

21°

Explanation:

There is a straight angle that is 180 degrees

The 54 degrees is equivalent to ∠DAB because of alternate interior angles

Therefore, 105+54=159 degrees

180-159=21

m∠x=21 °