Respuesta :

x and w are parallel lines, so

• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and

• angles 1 and 2 are supplementary because they form a linear pair.

The first observation tells you that angle 2 has measure 75º, and angle 1 has measure m such that

m + 75º = 180º

so angle 1 has measure 180º - 75º = 105º.

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