1. o is the center of the given circle. The measure of angle o is 134*. The diagram is not drawn to scale.

Assuming that lines that appear to be tangent are tangent, what is the value of X?

A) 67
B) 46
C) 314
D) 268

When I solve this, i get B. But I've been told the answer is 67.

x+90+90+134=360 is what I used and I had the outcome of 46. Could someone please help?

Where is the diagram?

46

To find the value of X, we can use the fact that the sum of angles around a point is 360 degrees. Let's break down the given information and the solution step by step.

From the information given, we know that angle o, which is the angle at the center of the given circle, has a measure of 134 degrees. We also assume that lines that appear to be tangent are indeed tangent.

Since the angle at the center of a circle is twice the angle at the circumference (formed by the same intersecting lines), we can conclude that angle X + 90 degrees + 90 degrees + 134 degrees must add up to 360 degrees, as you correctly stated.

So, the equation becomes:

X + 90 + 90 + 134 = 360

Now let's solve for X:

Combine like terms:
X + 314 = 360

Subtract 314 from both sides of the equation:
X = 360 - 314
X = 46

Therefore, according to the calculations, the value of X is 46 degrees.

Now, regarding the discrepancy between your solution and the answer you were given (67 degrees), it's possible that there was either a mistake made in the information provided, or the answer you were given is incorrect.

I would suggest double-checking the given diagram and the information provided to ensure all details are accurate. If you're still unsure, it's always a good idea to consult with your teacher or a math tutor to clarify any doubts or confirm the correct answer.

No diagram. Cannot copy and paste here.