Final answer:
In a triangle, the sum of the angles is always 180 degrees. To find the value of x using the given information, we set up an equation and solve for x. The value of x in this case is 25.
Step-by-step explanation:
In a triangle, the sum of the angles is always 180 degrees. So, we can write the equation: angle 1 + angle 2 + angle 3 = 180. From the given information, we have angle 1 = 30°, angle 2 = 100°, and angle 3 = 2x. Plugging in these values into the equation, we get 30° + 100° + 2x = 180.
To solve for x, we need to isolate x. First, combine like terms on the left side of the equation: 130° + 2x = 180. Then, subtract 130° from both sides to get: 2x = 50. Finally, divide both sides by 2 to solve for x: x = 25.
Therefore, the value of x is 25.
Learn more about Triangle angles