1. What is the value of x in this diagram?
There's two lines crossing each other. One angle is 7x+7, and another one is 47, the next is 112.
A) 17
B) 15
C) 105
D) 68
Is the answer B? I got B when I solved but I still would like someone to check, thank you!
vertical angles are equal, so
7x+7=112
x=15
you are correct.
To find the value of x in the given diagram, we can use the fact that the sum of the angles on a straight line is 180 degrees.
Let's set up an equation:
The angle labeled 7x + 7 and the angle labeled 47 are adjacent (forming a straight line), so their sum will be 180 degrees. Thus, we have:
(7x + 7) + 47 = 180
Simplifying the equation:
7x + 54 = 180
Next, we isolate x by subtracting 54 from both sides of the equation:
7x = 180 - 54
7x = 126
Finally, divide both sides of the equation by 7 to solve for x:
x = 126 / 7
x = 18
Therefore, the value of x in the given diagram is 18.
Since the possible answers do not match the value we got, it seems there may be an error in solving or in the given question. Please recheck your solution or provide additional information if needed.