1 ——> given
2 —-> vertical angles are equal.
3 —> substitution
4 ——> if lines are || , corresponding angles are equal.
The sign should be changed as well
1) To solve for x you'll use the sine formula
sin 27 = 34/x
x = 34/sin27
x = 74.89
2) to find the value of x you'll use the tangent formula
tan 49 = x/55
55(tan49) = x
63.270
Kaia found a common dividend (if thats the right word), a common factor that both could be divided by, and then did the distributive property backwards pretty much, taking out that common factor from each. You can't use it on that last one because eleven is a prime number (unable to be divided by anything other than one and itself), so the two numbers won't have a common dividor number thingy.