Three angles around a point measure 70°, 100°, and x. What is the value of x?

1 answer

The sum of the angles around a point is always 360°.

Given the angles 70°, 100°, and \( x \), we can express this as:

\[ 70° + 100° + x = 360° \]

Now, we can add the known angles:

\[ 170° + x = 360° \]

Next, we can isolate \( x \) by subtracting 170° from both sides:

\[ x = 360° - 170° \] \[ x = 190° \]

Thus, the value of \( x \) is \( \boxed{190°} \).