91Ó°ÊÓ

When we talk about angle measurement, we refer to the size of an angle in degrees.
A full circle is divided into 360°.
Therefore, different segments of that circle have specific degree measures.
For example, a right angle is 90°.
Furthermore, angle measurement is crucial in identifying and solving problems involving supplementary angles.
Supplementary angles are specifically two angles whose measures add up to 180°.
This property lets us find one angle if we know the other.
For instance, if one angle is 45°, the supplementary angle would be 135° because 45° + 135° = 180°.

Basic algebra helps solve equations to find unknown values.
In our problem, we want to find the supplementary angle of 45°.
Let's call this unknown angle 'x'.
We know that:

• Supplementary angles add up to 180°
• Hence, x + 45° = 180°

To solve for ‘x’, we isolate it on one side of the equation.
This is done by subtracting 45° from both sides:
\[ x = 180^{°} - 45^{°} \]

• Hence, x = 135°

This step-by-step algebraic process helps us find the value we need by applying basic principles.

Geometry is the branch of mathematics that deals with shapes, sizes, and properties of figures.
It also includes understanding different kinds of angles + their relationships.
In this instance, we focus on supplementary angles.
Two angles are supplementary if the sum of their measures is 180°.
This concept is useful in various geometric problems and constructions.
For example, consider a straight line intersected by another line, creating angles.
The angles on one side of the intersecting line add up to 180° because they form a straight line.
Hence, they are supplementary by definition.
Knowing these geometric principles allows us to solve various problems and understand the language of geometry better.