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1. ∠A = 70, ∠B = 50, ∠C = 60

2. y = 52

Step-by-step explanation:

1.

The exterior angle and the interior to that would have a SUM of 180.

So, if exterior to ∠C is 120, we can say:

exterior to C + ∠C = 180

120 + ∠C = 180

∠C = 180 - 120 = 60

∠C = 60

We also know sum of all 3 angles in a triangle is 180. Thus we can write:

∠A + ∠B + ∠C = 180

2x + x + 15 + 60 = 180

3x + 75 = 180

3x = 105

x = 105/3

x = 35

Thus,

∠A = 2x = 2(35) = 70

∠A = 70

and

∠B = x + 15 = 35 + 15 = 50

∠B = 50

2. The angle "4x" and its exterior angle "5x" is a straight line, so the sum is 180. Now, we find x:

4x + 5x = 180

9x = 180

x = 180/9

x = 20

So, we can say the angle "4x" is 4(20) = 80

We know sum of 3 angles of a triangle is 180, thus:

y + 48 + 80 = 180

y + 128 = 180

y = 180 - 128

y = 52

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.