Question

angles of a triangle
find the value of each variable.
*please show your work and
circle your answers.
1.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.

Explanation:

Let's solve problem 1 as an example (since the first triangle has angles \( 50^\circ \), \( 45^\circ \), and \( x^\circ \)):

Step 1: Recall the triangle angle sum theorem

The sum of the interior angles of a triangle is \( 180^\circ \). So, \( 50 + 45 + x = 180 \).

Step 2: Simplify the left - hand side

\( 95 + x = 180 \).

Step 3: Solve for \( x \)

Subtract 95 from both sides: \( x = 180 - 95 = 85 \).

Answer:

\( x = 85 \)

If you want solutions for other problems, please provide more specific details about the problem number and the given angles (or other relevant information) for that problem.