Question

PLSS HELP :(( will mark brianlist if its the correct answer ty

Answer 1

By applying the Alternate Interior Angles Theorem, the measure of angle x is: C. 60 degrees.

What is the Alternate Interior Angles Theorem?

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Since the two lines are parallel lines, angles 3 and 4 are alternate interior angles. Therefore, by applying the supplementary angle theorem, the measure of angle 3 is given by:

Q + R = 180°

85° + m<3 = 180°

Angle 3 = 180° - 85°

Angle 3 = 95°

Also, the sum of the angles formed on a straight line is supplementary and equal to 180°. Therefore, we have:

x + 25° + 95° = 180°

x + 120° = 180°

x = 180° - 120°

x = 60°

Read more on parallel lines and alternate interior angles here: brainly.com/question/2497532

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