Question

Which angle is complementary to <4?

Answer 1

Answer:

∠5

Step-by-step explanation:

What are complementary angles?

• Complementary angles are angles that form a 90 degree angle (they add up to 90 degrees)

We want to find which angle is complementary to ∠4

Here we have two lines that intersect and we know that one of the angles formed is a 90 degree angle indicated by the little square. If two lines intersect and form a 90 degree angle then the lines are perpendicular meaning that any of the other angles formed are also 90 degree angles.

So if one of the angles were to be cut by another line (which happens creating ∠5 and ∠4) then the sum of those two angles is 90°

This means that ∠4 + ∠5 = 90

So the angle complementary to ∠4 is ∠5