Linear Pair of Angles Worksheets - Free Printable

Since I can't view or access uploaded images directly, I can't see the specific angles or diagrams in your image. However, based on the description of the worksheet titled "Linear Pairs of Angles", I can help you solve typical problems involving linear pairs and supplementary angles.

Let me explain what a linear pair is and how to solve such problems:

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🔹 What is a Linear Pair?

A linear pair consists of two adjacent angles that:
- Share a common vertex and a common side.
- Their non-common sides form a straight line (i.e., they are supplementary).
- The sum of their measures is 180°.

So, if two angles form a linear pair:
> Angle 1 + Angle 2 = 180°

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🔹 Common Problem Types:

You’re likely asked to find missing angle values using this rule.

Let’s go through examples similar to what might be in your worksheet.

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✔ Example 1:

Suppose one angle is $ x^\circ $, and the other is $ 3x^\circ $. They form a linear pair.

Then:
$$
x + 3x = 180^\circ \\
4x = 180^\circ \\
x = 45^\circ
$$

So the angles are $ 45^\circ $ and $ 135^\circ $.

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✔ Example 2:

One angle is $ 60^\circ $, and the other is unknown.

$$
\text{Unknown} = 180^\circ - 60^\circ = 120^\circ
$$

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✔ Example 3:

An angle is labeled as $ 2x + 10^\circ $, and its linear pair is $ x + 20^\circ $.

Set up equation:
$$
(2x + 10) + (x + 20) = 180 \\
3x + 30 = 180 \\
3x = 150 \\
x = 50
$$

Then:
- First angle: $ 2(50) + 10 = 110^\circ $
- Second angle: $ 50 + 20 = 70^\circ $

Check: $ 110 + 70 = 180^\circ $ ✔

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📌 Tips for Solving:

1. Look for two angles forming a straight line.
2. Use the equation: $ \angle A + \angle B = 180^\circ $
3. Solve for the variable.
4. Plug back to find actual angle measures.

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If you describe each problem in the image (e.g., “Problem 1 has an angle of 50° and another labeled as x”, etc.), I can solve them step-by-step.

Alternatively, if you can type out the details of the problems, I’ll gladly walk you through each one!