Answer:
1: 55 2: 40
Step-by-step explanation:
For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so
90+35+x=180
125 + x = 180
x = 55
Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180
55 + y = 180
y = 125
For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so
40 + 2x = 3x
x = 40
