Question

The angle measures of a triangle are shown in the diagram. 2x + 10 on one side 30 on the other and 50 on the last side. What is the value of x?

Answer 1

To find the value of \( x \), we can use the fact that the sum of the interior angles of a triangle is always \( 180^\circ \).

Given the angles:
1. \( 2x + 10 \)
2. \( 30 \)
3. \( 50 \)

We can set up the equation:

\[
(2x + 10) + 30 + 50 = 180
\]

Now, simplify the equation:

\[
2x + 10 + 30 + 50 = 180
\]

Combine like terms:

\[
2x + 90 = 180
\]

Next, subtract \( 90 \) from both sides:

\[
2x = 180 - 90
\]
\[
2x = 90
\]

Now, divide both sides by \( 2 \):

\[
x = \frac{90}{2}
\]
\[
x = 45
\]

Thus, the value of \( x \) is \( 45 \).