Question

1. if two transversal lines intersect at a 130 - degree angle, what is the value of their supplementary angle? 130 degrees 80 degrees 50 degrees 60 degrees

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the given angle be \(A = 130^{\circ}\) and its supplementary angle be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for \(B\)

Substitute \(A = 130^{\circ}\) into the equation \(A + B = 180^{\circ}\). We get \(B=180^{\circ}-A\). So \(B = 180^{\circ}- 130^{\circ}=50^{\circ}\).

Answer:

50 degrees