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x = 117°

Step-by-step explanation:

The angle inside the triangle and 101° are adjacent and supplementary, thus

angle inside triangle = 180° - 101° = 79°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , thus

x = 38° + 79° = 117°

x = 117

Step-by-step explanation:

Exterior angle is equal to the sum of opposite interior angles

101 = 38 + y(unknown interior angle)

y = 101-38

y = 63

Now,

x = 180-y (Angles on a straight line)

x = 180-63

x = 117

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