Question

write a two - column proof. given: ∠qwt and ∠twx are complementary. prove: x = 28 statements reasons 1) ∠qwt and ∠twx are complementary 1) given 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 equality property

We have the equation \(3x = 84\) and we want to solve for \(x\).

Step2: Apply division property

Dividing both sides of the equation \(3x=84\) by 3 gives \(x=\frac{84}{3}\).

Step3: Calculate value of x

\(\frac{84}{3}=28\), which is based on the division property of equality that if \(a = b\) and \(c
eq0\), then \(\frac{a}{c}=\frac{b}{c}\).

Answer:

Division Property of Equality