Question

The four models each show two parallel lines cut by a transversal and some angle measures formed by the

Answer 1

The value of a is 71°, and the value of b is 109°.

What is a parallel line?

A parallel lines is defined as those type of line that are equidistant to each other which are on the same plane and they doesn't meet each other till infinity.

When two parallel lines are being intersected by another line called the transverse line, the following relationship is bound to occur such as;

• Corresponding angles,
• Alternate Interior Angles,
• Alternate Interior Angles, Alternate Exterior Angles and
• Consecutive Interior Angles.

From model 4, the pair of alternate exterior angles are equal in measure. That is 71° = angle opposite b°.

That is 180 - 71 = 109°

Also in model 4, the pair of alternate interior angles are equal in measure. a = 71°.

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