Answer:
x=12
Step-by-step explanation:
Hello There!
So first things first, the angle labeled 4x+17 and the blank interior angle are vertical angles meaning that they are congruent
So now we can solve for x
Remember all of the angles in a triangle add up to equal 180 so
180 = x + 23 + 80 + 4x + 17
step 1 combine like terms
4x+x=5x
23+17+80=120
now we have
180=120+5x
step 2 subtract 120 from each side
180-120=60
now we have
60=5x
step 3 divide each side by 5
60/5=12
we're left with x=12
