Segment and Angle Addition Calculator

Segment and Angle Addition:

\[ \text{Segment Addition: } AB + BC = AC \] \[ \text{Angle Addition: } \angle ABC + \angle CBD = \angle ABD \]

Calculation Type:

First Value (a or θ1):

units

Second Value (b or θ2):

units

Sum ():

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1. What is Segment and Angle Addition?

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC. The Angle Addition Postulate states that if point D lies in the interior of angle ABC, then angle ABD + angle DBC = angle ABC.

2. How Does the Calculator Work?

The calculator performs simple addition of two values:

\[ \text{For segments: } a + b = \text{total length} \] \[ \text{For angles: } \theta_1 + \theta_2 = \text{total angle} \]

Where:

\( a, b \) — lengths of segments
\( \theta_1, \theta_2 \) — measures of angles

3. Importance of Segment/Angle Addition

Details: These fundamental geometric principles are essential for solving problems involving measurements of segments and angles in geometry.

4. Using the Calculator

Tips: Select whether you're adding segments or angles, enter the two values, and the calculator will compute the sum.

5. Frequently Asked Questions (FAQ)

Q1: Can I add more than two segments/angles?
A: This calculator adds two values at a time. For multiple additions, you can chain calculations.

Q2: What units should I use?
A: Use consistent units for both values (e.g., both in cm or both in degrees).

Q3: Can angles exceed 360 degrees?
A: Yes, the calculator will add them directly without normalization.

Q4: Are negative values allowed?
A: No, lengths and angle measures must be positive numbers.

Q5: How precise are the calculations?
A: Results are rounded to two decimal places for clarity.