Find the measure of exterior angle TUV below . please show step by step insturctions.

TUV = 36 degrees

Step-by-step explanation:

The sum of the angles in a straight line is 180 degrees. It means that

Angle TUS + angle TUV = 180

TUS + 8x - 8 = 180

TUS = 180 + 8 - 8x

TUS = 188 - 8x

Also, the sum of the angles in a triangle is 180 degrees. It means that

61 + 5x - 15 + TUS = 180

TUS = 180 + 15 - 61 - 5x

TUS = 134 - 5x

Therefore,

188 - 8x = 134 - 5x

- 5x + 8x = 188 - 134

3x = 54

x = 54/3

x = 18

Therefore,

TUV = 8x - 8 = (8 × 18) - 8 = 136 degrees

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step-by-step explanation: