Question

angle measures of a triangle
2x+10 degrees
30 degrees
50 degrees
find the value of x

Answer 1

To solve for \( x \) in the triangle with angle measures \( 2x + 10 \) degrees, \( 30 \) degrees, and \( 50 \) degrees, we will use the fact that the sum of the angles in a triangle is always \( 180 \) degrees.

Set up the equation:
\[
(2x + 10) + 30 + 50 = 180
\]

Now simplify the equation:
\[
2x + 10 + 30 + 50 = 180
\]
\[
2x + 90 = 180
\]

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 \( \boxed{45} \).