Question

Please help on both! And please put answer and not a website!

Answer 1

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