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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

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step-by-step explanation:

4+4+2x

or

2x+8

step-by-step explanation: