Respuesta :
Answer:
Statement: x =15.
Reason: Subtraction and Division properties of equality.
Explanation:
Given: [tex] m\angle ADE = 60^{\circ}[/tex] and [tex] m\angle CDF = (3x+15)^{\circ}[/tex]
⇒ [tex] m\angle ADE = m\angle CDF [/tex]
⇒ 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;
[tex]60-15=3x+15-15[/tex] 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
[tex]\frac{45}{3} =\frac{3x}{3}[/tex]
Simplify:
x=15 Hence proved!
Answer:
The answer is: A) Statement: 60 = 3x + 15; Reason: substitution
Step-by-step explanation:
