Solve for x: 2x+30 and 2x+10 form a straight angle

Published on September 25, 2024

Geometry

Find the value of x in the equation (2x + 30) + (2x + 10) = 180. The solution is x = 35.

Question

Answer

Here’s how to solve for x:
  1. Set up the equation: The two angles form a straight line, so their sum is 180 degrees. Therefore, we can write the equation:
  1. Combine like terms:
  1. Subtract 40 from both sides:

  1. Divide both sides by 4:

Therefore, the value of x is 35.
Final Answer: The final answer is