Solve for X: Circle Angles with Expressions 2X-20 and 2X+20

To solve this problem, we will use the fact that the sum of angles on a straight line is $180^\circ$. The angles given are $2X - 20$ and $2X + 20$.

• Step 1: Set up the equation for the sum of angles: $(2X - 20) + (2X + 20) = 180$.
• Step 2: Simplify the equation:

The equation simplifies as:

• Step 3: Set $(4X = 180)$.
• Step 4: Solve for $X$. Divide both sides of the equation by 4:

$4X = 180$

Therefore, the value of $X$ is $45$.