Respuesta :

Angle DXC and BXC are complementary angle.

Step-by-step explanation:

∠DXC complements with ∠BXC

Complementary angle means the sum of 2 angles that have a vein or form a right angle, which is 90°.

If we add ∠DXC with ∠BXC, it will form a right angle, 90°.

Hope it helpful and useful :)

We want to find the complementary angle to DXC.

We will see that the complementary angle is CXB

Let's start by defining what complementary angles are.

Two angles a and b are complementary if:

a + b = 90°.

This means that we must find another angle such that when we add it to DXC we get a right angle.

Let's look at the diagram.

We can see that we have the line AD, and there is a segment XB, such that the angle AXB is a right angle.

Then the angle DXB is also a right angle.

Now, you can see that the angle DXB is equivalent to DXC + CXB

Then we can see that the complementary angle to DXC is CXB.

If you want to learn more, you can read:

https://brainly.com/question/15592900