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When two parallel lines are cut by a transversal, angles A and B are alternate interior angles that each measure 105°. What is the measure of each of the other alternate interior angles?
75°
90°
105°
180°

Respuesta :

wizard123
The two adjacent alternate interior angles make up a straight line, which equals 180 degrees.

Therefore the sum of the angles must be 180.

x + 105 = 180

x = 180 - 105 = 75

The measure of the other alternate angles is 75.

The measure of each of the other alternate interior angles is; 75°

How to find the Alternate Interior Angle?

We know that according to Angle theorems, two adjacent alternate interior angles make up a straight line. Sum of angles on a straight line equals 180°.

Thus, if the measure of the other interior angle is x, then we have;

x + 105 = 180

x = 180 - 105

x  = 75°

The measure of the other alternate angles is 75°.

Read more about Alternate Interior Angle at; https://brainly.com/question/24839702

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