Question

The angle measures of a triangle are shown.
The top is (2x + 10) degrees
the left corner is 30 degrees
the right corner is 50 degrees.
What is the value of x?

Answer 1

To solve for \( x \) in the triangle, we start by using the fact that the sum of the angles in a triangle is always \( 180 \) degrees.

The angles given are:

- Top angle: \( 2x + 10 \) degrees
- Left angle: \( 30 \) degrees
- Right angle: \( 50 \) degrees

Setting up the equation, we have:

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

Now, combine the constant terms:

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

This simplifies to:

\[
2x + 90 = 180
\]

Next, isolate \( 2x \) by subtracting \( 90 \) 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 \( \boxed{45} \).