What is x?
Understand the Problem
The question is asking for the value of x in a geometry problem involving angles. To solve it, we can use the property that angles on a straight line sum to 180 degrees, and apply it to find the unknown angle x.
Answer
The value of $x$ is $34^\circ$.
Answer for screen readers
The value of $x$ is $34^\circ$.
Steps to Solve
- Identify the angles on a straight line
From the given diagram, we know that angles on a straight line sum up to $180^\circ$. We have angles $114^\circ$, $x^\circ$, and $32^\circ$ which sum up to $180^\circ$.
- Set up the equation
We can set up the equation: $$ 114^\circ + x + 32^\circ = 180^\circ $$
- Combine like terms
Combine the known angles: $$ 114^\circ + 32^\circ = 146^\circ $$
- Solve for x
Subtract the combined angles from $180^\circ$ to find $x$: $$ x = 180^\circ - 146^\circ $$
- Calculate the value of x
Now, calculate: $$ x = 34^\circ $$
The value of $x$ is $34^\circ$.
More Information
In geometry, understanding straight angles is critical. The sum of angles on a straight line always equals $180^\circ$. Knowing this helps solve various angle-related problems.
Tips
- Forgetting to combine angles correctly before subtracting from $180^\circ$.
- Misinterpreting the angles involved or their arrangement.
AI-generated content may contain errors. Please verify critical information
