Question

2.

Which of the following pairs of angles are
complementary?
A 24" and 66
B. 56 and 124
C. 34 and 66 : 34 and 56:
D. 56 and 124": 66 and 114​

Answer 1

(A) 24 and 66

Explanation

Complementary angles add up to 90 degrees

Supplementary angles add up to 180 degrees

(A) 24 + 60 = 90

These 2 angles sum to 90, so therefore they are complementary

(B) 56 + 124 = 180

These 2 angles sum to 180, so they are supplementary, not complementary

(C) 34 + 66 = 100; 34 + 56 = 90

While 34 and 56 sum to 90 degrees, 34 and 66 sum to 100, so this answer does not satisfy the question

(D) 56 + 124 = 180; 66 + 114 = 180

Both of these angle pairs are supplementary, so they do not satisfy the answer to the question