Answer:

Step-by-step explanation:
This is because you use Pythagorean theorem. a^2 + b^2 = c^2.
First take triangle BDH. We know B is 46 degrees and D is 33 degrees. Since the angles of a triangle equal 180 we get
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.
Converse Perpendicular Transversal Theorem.
If two lines are perpendicular to the same line, then the lines are parallel.