Question

Which angle is complementary to Angle C O D? Line A D is horizontal. Line B O comes out of line A D to form 2 right angles. Line C E intersect at point O. Angle A O B Angle A O E Angle B O C Angle A O C

Answer 1

Angle B O C

Explanation:

Complementary angles add up to 90

Angles COD and BOC form a right angle which means they add up to 90.

Answer 2

Angle BOC

Explanation:

Complementary angles are those that add up to 90 degrees.

We see that since AD is a line, that means ∠AOD = 180°. Meanwhile, we see the little square in the angle AOB, which indicates that ∠AOB = 90°.

Since ∠AOD = ∠AOB + ∠BOD, then 180 = 90 + ∠BOD ⇒ ∠BOD = 90°.

From the drawing, we can also see that ∠BOD = ∠BOC + ∠COD. Then since ∠BOD = 90°, we know that ∠BOC + ∠COD = 90°. In other words, ∠BOC and ∠COD are complementary.

Thus, the answer is angle BOC.