Question

vertical angles are always...
complementary
supplementary
adjacent
congruent
question 4
1 pts
which of the following angle pairs is considered supplementary?
30 degrees, 60 degrees
45 degrees, 45 degrees
120 degrees, 60 degrees
100 degrees, 50 degrees

Explanation:

1. Recall the definition of vertical angles. Vertical angles are formed when two lines intersect. By the vertical - angle theorem, vertical angles are always congruent.
2. Recall the definition of supplementary angles. Supplementary angles are two angles whose sum is 180 degrees. For the pairs:

• For 30 degrees and 60 degrees, \(30 + 60=90\) degrees (complementary).
• For 45 degrees and 45 degrees, \(45 + 45 = 90\) degrees (complementary).
• For 120 degrees and 60 degrees, \(120+60 = 180\) degrees (supplementary).
• For 100 degrees and 50 degrees, \(100 + 50=150\) degrees.

Answer:

1. D. Congruent
2. C. 120 degrees, 60 degrees