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The equation a + b + c = 235 is true because a = c = 55° and b = 125°

How to prove that a + b + c = 235?

The angle a and 125° are on the same straight line.

So, we have:

a + 125° = 180°

Subtract 125 from both sides

a = 55°

The angle b and 125° are vertical angles

So, we have:

b = 125°

The angle a and angle a are vertical angles

So, we have:

c = a

This gives

c = 55°

Add the three angles

a + b + c = 55° + 125° + 55°

Evaluate the sum

a + b + c = 235°

Hence, it is true that a + b + c = 235°

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