Question

If m∠F = 90° and m∠G = 70°, then ∠F and ∠G are not supplementary.

Answer 1

a) Proof by contradiction is different from traditional proof as it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.

b) The statement is true by contradiction as the sum of the measures is of 160º, and not 180º.

What are supplementary angles?

Two angles are called supplementary angles if the sum of their measures has a value of 180º.

The measures of the angles in this problem are given as follows:

• m∠F = 90°.

• m∠G = 70°.

Then the sum of the measures of this angles is given as follows:

90 + 70 = 160º.

Which is a different sum of 160º, confirming the statement that the angles are not supplementary by contradiction.

A similar problem, involving proof by contradiction and supplementary angles, is presented at brainly.com/question/28889480

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