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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?

Respuesta :

texaschic101
alternate exterior angles, when parallel lines are cut by a transversal, are congruent. Therefore, the angles are equal...so set them equal.

6x + 5 = 7x - 4...now we solve for x
6x - 7x = -4 - 5
-x = -9
x = 9

one angle (6x + 5) = 6(9) + 5 = 54 + 5 = 59 degrees
other angle (7x - 4) = 7(9) - 4 = 63 - 4 = 59 degrees
as u can see, they are both congruent and they each measure 59 degrees
Joslynherrera11

Answer:

Just copy and paste my g's

Step-by-step explanation:

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

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