First picture:
Find x first by calculating the interior angles. Since a triangle measures 180°,
46 + 80 + x = 180
126 + x = 180
x = 180 - 126
x = 54°
Now by supplementary angle theorem (angles add up to 180°),
54° + y = 180°
y = 180° - 54°
y = 126°
Second picture:
Through Alternate Exterior angles,
x = 117°
