Calculate Angles of a Trapezoid

Trapezoid Angle Calculation:

\[ \text{Angles} = 180° - \text{adjacent angle (for isosceles trapezoid)} \]

Calculated Angles:

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1. What is a Trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides. The angles adjacent to each non-parallel side are supplementary (add up to 180 degrees).

2. How to Calculate Trapezoid Angles

The calculator uses these formulas:

For isosceles trapezoid: \[ \text{Angle} = 180° - \text{adjacent angle} \] For right trapezoid: \[ \text{Non-right angles are supplementary} \]

Where:

Angles on the same side of a leg are supplementary
Isosceles trapezoids have two pairs of equal angles
Right trapezoids have two right angles

3. Types of Trapezoids

Details: There are two main types:

Isosceles Trapezoid: Non-parallel sides are equal, base angles are equal
Right Trapezoid: Has two adjacent right angles

4. Using the Calculator

Tips: Enter one known angle (between 1-179 degrees) and select the trapezoid type. The calculator will determine all four angles.

5. Frequently Asked Questions (FAQ)

Q1: What's the sum of all angles in a trapezoid?
A: Like all quadrilaterals, the sum is 360 degrees.

Q2: How many angles can be right angles in a trapezoid?
A: A trapezoid can have either two right angles (right trapezoid) or none (isosceles trapezoid).

Q3: Can a trapezoid have three right angles?
A: No, if three angles were right angles, the fourth would have to be a right angle too, making it a rectangle.

Q4: What's the difference between a trapezoid and a trapezium?
A: In American English, a trapezoid has one pair of parallel sides. In British English, this shape is called a trapezium.

Q5: Can this calculator work for irregular trapezoids?
A: No, this calculator only works for isosceles and right trapezoids where angles follow specific patterns.