What is the value of x in the figure? (figure included.)

See those lines that are pependicular
meanins that those lines are same legnth
in triangle, if 2 sides are same measure legnth then the angles oposite those sides are same measure

therefor top right and top left angle is 42

remember that vertical angles are congruent

remmeber all angles ad to 180 in a triangle

so therefor look at top triangle
top right angle is 42
top left is 42
bottom must be x
total is 180 so 
42+42+x=180
84+x=180
minus 84 fromboth sides
x=96

answer is 96 degrees