Find the measure of angle x in the figure below:

Question

Find the measure of angle x in the figure below:

1.  35° 
2. 47° 
3. 51° 
4. 62°

Answer 1

y = 180° - 57° - 61° = 62°

x + y + 67° = 180°

So, x = 51°

Answer 2

So set up 57+y+61=180 for the three consecutive angels on top, then solve for y to get 62

y = 180° - 57° - 61° = 62°

Next x+y+67=180

so

need to solve for x

so that will be x+62+67=180

x=180-(62+67)=51°