# Rectangle Diagonal Angle Calculator

Table of contents

What do we mean by diagonal of a rectangle?What is the formula used by our rectangle diagonal angle calculator?Other calculators related to geometric shapesOur rectangle diagonal angle calculator is a great tool to help you to **calculate the angles created when we draw diagonal lines through a rectangle.** Whether you are studying geometry or just doing research for a project, we have what you need. **Here we will discuss:**

- What is the meaning of the diagonal of a rectangle.
- How many diagonals does a rectangle have?
- The formulas used by our rectangle diagonal angle calculator.
- Some mathematical facts related to finding the diagonals of a rectangle.

## What do we mean by diagonal of a rectangle?

**A diagonal of a rectangle is a straight line drawn through a rectangle that connects the vertices that are not adjacent.** Each rectangle has two diagonals. The diagonals of a rectangle bisect each other.

## What is the formula used by our rectangle diagonal angle calculator?

Now that you understand what diagonals mean, here are a few facts that will help us to find the diagonal angles of a rectangle:

- When we draw two diagonal lines through a rectangle, they form two pairs of congruent angles at their point of intersection.
- The congruent angles are the ones opposite to each other. The angles opposite the intersection are also duplicates of each other.
- The vertices of a rectangle form angles of
`90°`

. - Linear angles, e.g.,
`I`

and`J`

in the diagram, add up to`180°`

. - The interior angles of a triangle also add up to
`180°`

.

**These bits of information are crucial to finding the angles formed by the diagonals when we know the values of one side.** Discovering the others is pretty simple if you know any other interior angles. Our rectangle diagonal angle calculator uses the following formulas to find the angles formed by the diagonals:

`180° = A + B + I`

`A = B = F = E`

`90° = A + H`

`I = K`

`L = J`

`H = G = C = D`

So if we are given `A = 46°`

then `B`

, `F`

and `E`

will also be equal to `46°`

Since `A + B + I = 180°`

:

`I = 180° - (A+B) = 180° - (46° + 46°)`

`I = 180° - 92°`

`I = 88°`

So K is also `88°`

.

Because we know that `A + H = 90°`

and `A = 46°`

then:

`H = 90° - 46° = 37°`

Therefore `G, C and D = 37°`

.

Given `I + J = 180°`

:

`J = 180° - 88° = 92°`

And since `J = L`

:

`L = 92°`