Question

based on the illustration, what is the relationship between \\( \angle 1 \\) and \\( \angle 4 \\)?
a they are congruent angles
b they are supplementary
c they form a right angle
d they are complementary

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze \(\angle1\) and \(\angle4\)

From the illustration, \(\angle1\) and \(\angle4\) form a linear pair. By the linear - pair postulate, if two angles form a linear pair, then they are supplementary. That is \(\angle1+\angle4 = 180^{\circ}\)

Answer:

B. They are supplementary