Step 1
Consider triangle BDH,
The sum of angle in the triangle BDH is 180 degrees
Step 2
[tex]\begin{gathered} \angle B\text{ + }\angle D\text{ + }\angle H\text{ = 180} \\ 33\text{ + 46 + }\angle H\text{ = 180} \\ \angle H\text{ = 180 - 33 - 46} \\ \angle H\text{ = 101} \end{gathered}[/tex]
Step 3
[tex]\begin{gathered} x\text{ + }\angle H\text{ = 180 Sum of angles on a straight line.} \\ x\text{ + 101 = 180} \\ \text{ x = 180 - 101} \\ \text{x = 79} \end{gathered}[/tex]
Final answer
x = 79
