It is known that if x + y = 10 then x + y + z = 10 + z. Which Euclid's axiom illustrates this statement?

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Third axiom

First axiom

Fourth axiom

Second axiom

answer is B.

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Detailed Solution

Euclid's second axiom states, "If equals are added to equals, the wholes are equal."

The given statement, "if x + y = 10, then x + y + z = 10 + z" can be proven using this axiom as follows:

Given x + y = 10

Add z to both sides:

x + y + z = 10 + z

This proves that x + y + z = 10 + z.

Therefore, using Euclid's second axiom, we can illustrate this statement.

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