Question

write a two - column proof. given: ∠qwt and ∠twx are complementary. prove: x = 28 statements reasons 1) ∠qwt and ∠twx are 1) given complementary 2) m∠qwt + m∠twx = 90 2) definition of complementary angles 3) 2x + x + 6 = 90 3) substitution property 4) 3x + 6 = 90 4) combine like terms 5) 3x = 84 5) subtraction property of equality 6) x = 28 6) _?

Explanation:

Step1: Recall the given two - column proof steps

We have reached the step $3x = 84$ and need to get to $x = 28$.

Step2: Identify the operation

To isolate $x$ in the equation $3x=84$, we divide both sides of the equation by 3.

Step3: Apply the property

The property used is the Division Property of Equality which states that if $a = b$ and $c
eq0$, then $\frac{a}{c}=\frac{b}{c}$. Here $a = 3x$, $b = 84$ and $c = 3$. So, $\frac{3x}{3}=\frac{84}{3}$, which simplifies to $x = 28$.

Answer:

Division Property of Equality