To prove: the triangle sum theorem using the diagram and proof should be different.
Answer to Problem 53E
The triangular sum theory is proved.
Explanation of Solution
Given:
Concept used:
The corresponding angles of transversal are equal.
The alternative interior angle of transversal is equal.
Sum of the three interior angles of triangle is always
Linear pair or supplementary angle made by two adjacent angle that is form by intersection of two lines and their sum is
Calculation:
The corresponding angles of transversal are equal.
The alternative interior angle of transversal is equal.
According to the linear pair or supplementary angle sum is
By putting or substituting the angles from equation
Hence,triangular sum theory is proved.
Chapter 12 Solutions
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