If ∠ = 48° and ∠ = 18°, what is ∠?

Angle ABC = 66 degrees

Step-by-step explanation:

Let's first focus on Triangle BHC

The formula to find the third angle of a triangle is that all 3 sides must add up to 180 degrees.

We can immediately see that Angle FAB and Angle BHG is equal since they are alternating interior angles.

We are then given that BCH is 18 degrees. Therefore the equation will be:

48 + 18 + ? = 180

The third side of Triangle BHC is 114 degrees.

Now, let's switch to what we actually need to find. (Angle ABC)

We can see that Angle HBC + Angle ABC = 180 degrees!

Substitute what we already know:

Angle HBC (114 degrees) + Angle ABC = 180 degrees.

Therefore, we end with:

Angle ABC = 66 degrees.

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