Applying the alternate exterior angles theorem, the value of x = 10.
How to Apply the Alternate Exterior Angles Theorem?
According to the alternate exterior angles theorem, the following alternate interior angles are congruent to each other:
m<JPM = m<NQK
Given the following:
m<JPM = 125°
m<NQK = (13x - 5)°
Substitute
125 = 13x - 5
125 + 5 = 13x
130 = 13x
Divide both sides by 13
130/13 = 13x/13
10 = x
x = 10
Therefore, applying the alternate exterior angles theorem, the value of x = 10.
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