Question

question 12 of 25
the diagram shows two parallel lines and a transversal. if the measure of \\( \angle 2 \\) is \\( 47 ^ { \circ } \\), what is the measure of \\( \angle 3 \\)?
a. \\( 43 ^ { \circ } \\)
b. \\( 133 ^ { \circ } \\)
c. \\( 153 ^ { \circ } \\)
d. \\( 47 ^ { \circ } \\)

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(\angle2+\angle3 = 180^{\circ}\)

Step2: Solve for \(\angle3\)

Given \(\angle2 = 47^{\circ}\), then \(\angle3=180^{\circ}-\angle2\)
Substitute \(\angle2 = 47^{\circ}\) into the equation: \(\angle3=180^{\circ}- 47^{\circ}=133^{\circ}\)

Answer:

B. \(133^{\circ}\)