Question

Given: mADE = 60° and mCDF = (3x + 15)° Prove: x = 15 What is the missing statement and the missing reason in step 5? Statement: 60 = 3x + 15; Reason: substitution Statement: x = 15; Reason: subtraction property of equality Statement: 60 = 3x + 15; Reason: transitive property Statement: x = 15; Reason: subtraction and division properties of equality

Answer 1

Answer:

Statement: x =15.

Reason: Subtraction and Division properties of equality.

Explanation:

Given: $m\angle ADE = 60^{\circ}$ and  $m\angle CDF = (3x+15)^{\circ}$

⇒  $m\angle ADE = m\angle CDF$

⇒ 60= 3x+15 or

Subtraction property of equality: Subtract the same number from both sides of an equation.

Subtract 15 from both sides of an equation;

$60-15=3x+15-15$  or

45=3x

Division property of equality: Divide the same number from both sides of an equation;

Divide by 3 from both sides of an equation, we have

$\frac{45}{3} =\frac{3x}{3}$

Simplify:

x=15        Hence proved!

Answer 2

Not the Answer:

Statement: x = 15; Reason: subtraction and division properties of equality

Step-by-step explanation:

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