Find the value of x in each supplementary angle pair on this math worksheet.

It looks like you've uploaded an image of a worksheet titled "Finding Supplementary Angles", which asks students to find the value of \( x \) in each supplementary angle pair. Since I can't view images directly, I’ll guide you through how to solve such problems and provide a general explanation based on typical problems found in this type of worksheet.

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🔍 What Are Supplementary Angles?

Two angles are supplementary if their measures add up to 180 degrees.

So, if two angles are supplementary:
\[
\text{Angle 1} + \text{Angle 2} = 180^\circ
\]

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📌 How to Solve These Problems

Each problem will show two angles (often adjacent or forming a straight line), one labeled with an expression involving \( x \), and the other either given as a number or also in terms of \( x \). Your goal is to set up an equation and solve for \( x \).

Let’s go through typical examples that might appear on your worksheet:

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#### ✔ Example 1:
One angle is \( 3x + 10^\circ \), the other is \( 50^\circ \)

Set up the equation:
\[
(3x + 10) + 50 = 180
\]
\[
3x + 60 = 180
\]
\[
3x = 120
\]
\[
x = 40
\]

✔ Answer: \( x = 40 \)

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#### ✔ Example 2:
Angles are \( 2x \) and \( x + 30^\circ \)

\[
2x + (x + 30) = 180
\]
\[
3x + 30 = 180
\]
\[
3x = 150
\]
\[
x = 50
\]

✔ Answer: \( x = 50 \)

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#### ✔ Example 3:
One angle is \( 4x - 20^\circ \), the other is \( 5x + 10^\circ \)

\[
(4x - 20) + (5x + 10) = 180
\]
\[
9x - 10 = 180
\]
\[
9x = 190
\]
\[
x = \frac{190}{9} \approx 21.11
\]

⚠️ This would be unusual unless decimals are allowed. But most problems have whole numbers.

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🔧 General Steps to Solve:

1. Identify the two angles shown.
2. Write an equation where the sum equals 180°.
3. Simplify and solve for \( x \).
4. Check by plugging back into the expressions.

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📝 Common Types of Diagrams

- Two angles forming a straight line → supplementary.
- A ray splitting a straight line → two angles next to each other.
- Sometimes one angle is marked as \( x \), the other as \( 2x \), etc.

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🛠️ If You Can Describe the Problems...

Since I can’t see the image, please describe the specific equations or diagrams from the worksheet, and I’ll help you solve them step-by-step.

For example, say:
> "Problem 1: One angle is 3x + 10, the other is 50 degrees."

Then I can give you the exact solution.

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💡 Tip: Always remember:
\[
\text{Supplementary angles} \Rightarrow \text{Sum} = 180^\circ
\]
\[
\text{Complementary angles} \Rightarrow \text{Sum} = 90^\circ
\]

Let me know the details of any specific problem, and I’ll walk you through it!