which angle is complementary to ∠4?
which angle is complementary to ∠4?
Answer
Explanation:
Step1: Recall complementary - angle definition
Two angles are complementary if their sum is 90 degrees.
Step2: Identify right - angle in the figure
We see that ∠1 + ∠2=90 degrees (the right - angle symbol indicates a 90 - degree angle). Also, ∠3+∠4 + ∠5 = 90 degrees. Since ∠3 + ∠4+∠5 = 90 degrees and we want to find the complement of ∠4, we note that ∠3+∠5 is the remaining part of the 90 - degree angle formed by the intersection of the lines.
Answer:
∠3 + ∠5