Question

Solve for the missing side. Round to the nearest tenth. (1 point) Responses 45.7 45.7 34.6 34.6 14.5 14.5 11.5. Angle 20, X 60 degrees

Answer 1

It seems like you're dealing with a triangle with one angle measuring 20 degrees, another angle measuring 60 degrees, and you need to find the length of side \(X\). To solve for \(X\), we can use the Law of Sines.

Let's denote the sides opposite the respective angles:
- \(a\) is opposite the 20° angle,
- \(b\) is opposite the 60° angle,
- \(c\) is opposite the angle where you'll find \(X\).

Since the sum of angles in a triangle is 180 degrees, we can find the third angle:

\[
180° - 20° - 60° = 100°
\]

If we assume we know one side length (let's say the length of side \(b\) opposite the 60° angle), we can express the relationship using the Law of Sines:

\[
\frac{a}{\sin(20°)} = \frac{b}{\sin(60°)} = \frac{c}{\sin(100°)}
\]

This would allow us to solve for \(X\) as long as we know at least one side.

If you can provide the length of another side, I can help you solve for \(X\) more specifically. For now, if we were to proceed with some arbitrary length for \(b\), I would need that information to continue.

Please provide a side length or further details!