https://file.aiquickdraw.com/mathbot/file/1726579088947gqc4qooo.jpg

The image depicts two angles that form a linear pair. One angle is given as \(126^\circ\) and the other is \(a\). Since these two angles form a straight line, they are supplementary angles. This means their sum is \(180^\circ\).

The equation is:
\[
a + 126^\circ = 180^\circ
\]

To find \(a\), subtract \(126^\circ\) from both sides:
\[
a = 180^\circ - 126^\circ = 54^\circ
\]

So, the missing angle \(a\) is \(54^\circ\).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What are supplementary angles, and why do they always add up to \(180^\circ\)?
2. Can two acute angles ever be supplementary? Why or why not?
3. What is the difference between complementary and supplementary angles?
4. How would you solve for \(a\) if the given angle was \(85^\circ\)?
5. What are vertical angles, and how do they relate to this problem?

**Tip:** When solving for unknown angles, always check if the angles form a known type of pair, like supplementary or complementary, to simplify the process.

Find the measure of the missing angle, given that one angle is 126° and forms a linear pair with the unknown angle 'a'.

Learn how to find the missing angle in a linear pair where one angle is 126°. This geometry problem involves supplementary angles and the linear pair theorem. Suitable for students in Grades 6-8.

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