Calculate Angle X in Straight Line: Given 41° and 45° Angles

To solve this problem, we will apply the triangle sum theorem:

• Step 1: Identify the triangle formed by the known angles and the unknown angle $X$.
• Step 2: Use the triangle angle sum property which states: The sum of the angles in a triangle is $180^\circ$.
• Step 3: The known angles in the problem are $41^\circ$ and $45^\circ$.

Now, let's complete the steps:

Step 1: The angles presented form a triangle involving the angles $41^\circ$, $45^\circ$, and $X$.
Step 2: Apply the triangle angle sum theorem: $41^\circ + 45^\circ + X = 180^\circ$.
Step 3: Simplifying this we get:

$41 + 45 + X = 180$

$86 + X = 180$

Solve for $X$:

$X = 180 - 86$

$X = 94$

Therefore, the value of angle $X$ is $94^\circ$.