Do you know how to solve this?

Answer:
[tex]x=11[/tex]
Step-by-step explanation:
The sum of all the angles in a triangle is always 180 degrees.
Hence,
[tex](7x-17)+42+78=180[/tex]
Remove the brackets:
[tex]7x-17+42+78=180[/tex]
Add/Subtract the numbers:
[tex]7x+103=180[/tex]
Subtract 103 from both sides:
[tex]7x+103-103=180-103[/tex]
[tex]7x=77[/tex]
Divide both sides by 7:
[tex]\frac{7x}{7}=\frac{77}{7}[/tex]
[tex]x=11[/tex]
Answer:
X = 11
Step-by-step explanation:
This triangle will add up to 180 degrees
Our angles we have right now our 42 and 78 I add those up so I know how much the missing angle will have to equal to add up with the others to equal 180 so 42 + 78 = 120
So our other angle will have yo equal 60 so we have to find out what multiplied by 7 subtracted by 17 equals 60 well 7 x 11 = 77 and 77 - 17 = 60 so x = 11