)In the figure below, lines m and n are parallel:

Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.

In the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?

83 degrees
90 degrees
97 degrees
180 degrees

In the figure below lines m and n are parallel Two parallel lines are shown crossed by a transversal The angles are labeled with number 18 The angles on line m class=

Respuesta :

Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.

What is the Linear Pair Theorem?

The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.

∠5 and ∠6 are a linear pair. Therefore:

m∠5 = 180 - m∠6

m∠5 = 180 - 97

m∠5 = 83°

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