Question

real life example with garden
sally is using strings to mark parallel rows for a vegetable garden behind her house.
if the measure of \\( \angle 1 = 130 ^ { \circ } \\), what should be the measure of \\( \angle 2 \\)?
\\( \angle 2 = 50 ^ { \circ } \\)
\\( \angle 2 = 130 ^ { \circ } \\)
\\( \angle 2 = 150 ^ { \circ } \\)
\\( \angle 2 = 40 ^ { \circ } \\)

Explanation:

Step1: Identify the relationship between ∠1 and ∠2

∠1 and ∠2 are supplementary angles (they form a linear pair).

Step2: Use the supplementary - angle formula

If two angles are supplementary, then \( \angle1+\angle2 = 180^{\circ}\). Given \( \angle1 = 130^{\circ}\), we substitute into the formula: \(130^{\circ}+\angle2=180^{\circ}\).

Step3: Solve for ∠2

Subtract \(130^{\circ}\) from both sides of the equation: \( \angle2=180^{\circ}- 130^{\circ}\).

Answer:

\(\angle2 = 50^{\circ}\)