Mathematical proofs are used to prove or disprove mathematical statements.
<h3>Mathematical theorems </h3>The theorems to use are:
- The sum of angles on a straight line is 180 degrees
- Alternate angles are congruent
From the question, we have:
This means that, ABC is a triangle
Also, we have:
BP || AC
This means that lines BP and AC are parallel
So, the following angles are congruent by alternate angle theorem
.
The angles on a straight line add up to 180 degrees.
So, we have:
By substitution, the above equation becomes
Rewrite the equation as:
Hence, the statement that has been proved
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