Question

1. write the conclusion for the statement. if (mangle{jkl}+mangle{smw}=mangle{xyz}+mangle{dnf}) and (mangle{xyz}=mangle{smw}), then... (mangle{jkl}=mangle{dnf}) 8. name the property to justify the statement in question 7.

Explanation:

Step1: Start with given equations

Given $m\angle{JKL}+m\angle{SMW}=m\angle{XYZ}+m\angle{DNF}$ and $m\angle{XYZ}=m\angle{SMW}$.

Step2: Substitute equal - angle values

Substitute $m\angle{SMW}$ for $m\angle{XYZ}$ in the first equation. We get $m\angle{JKL}+m\angle{SMW}=m\angle{SMW}+m\angle{DNF}$.

Step3: Use subtraction property of equality

Subtract $m\angle{SMW}$ from both sides of the equation $m\angle{JKL}+m\angle{SMW}=m\angle{SMW}+m\angle{DNF}$. So, $m\angle{JKL}=m\angle{DNF}$.

Answer:

The property used to justify the statement in question 7 is the Subtraction Property of Equality.