https://file.aiquickdraw.com/mathbot/file/1728840797490v5iy1fct.jpg

The problem in the image asks to find the measure of angle 1, given that angle 2 measures 132°.

Looking at the figure, angle 1 and angle 2 form a linear pair, meaning they are supplementary angles. Supplementary angles sum to 180°.

We can calculate the measure of angle 1 using the formula for supplementary angles:

\[
m\angle 1 + m\angle 2 = 180^\circ
\]

Substitute the given value for \(m\angle 2 = 132^\circ\):

\[
m\angle 1 + 132^\circ = 180^\circ
\]

Solve for \(m\angle 1\):

\[
m\angle 1 = 180^\circ - 132^\circ = 48^\circ
\]

Thus, \(m\angle 1 = 48^\circ\).

Would you like further details or have any questions?

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Here are 5 related questions to expand your understanding:
1. What are linear pairs of angles?
2. How do you identify supplementary angles in a diagram?
3. Can two angles be supplementary if both are acute?
4. How are complementary angles different from supplementary angles?
5. Can you think of real-life examples where supplementary angles are used?

**Tip:** Remember that linear pairs of angles always sum up to 180°, which can help in many geometry problems.

In the figure below, m∠2 = 132°. Find m∠1.

This problem teaches how to find the measure of angle 1 when given angle 2 = 132°, using the concept of supplementary angles. Suitable for students in Grades 6-8, the solution covers key geometry concepts such as linear pairs and the relationship between angles.

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