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Answer :
Both angles measure 59 degrees
How to find the angle measure
Using the alternate exterior angle theorem we have the relation
6x + 5 = 7x - 4
7x - 6x = 5 + 4
x = 9
Since both angles are equal we use any side to solve
7x - 4
7(9) - 4
59 degrees
complete question
Two parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x + 5)° and the other measures (7x – 4)°. Explain how to determine what those angles actually measure?
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