Enter values in **miter angle calculator** to measure the **correct angle** for cutting materials when **joining two pieces** at a specific **corner angle**.

For example, when creating a **picture frame** with **90-degree corners**, each piece needs to be cut at a **45-degree angle** to fit together perfectly. The **miter angle calculator** helps determine these cutting angles for various corner configurations.

## Miter Angle Calculator

Corner Angle | Calculation | Miter Angle | Conversion to Radians |
---|---|---|---|

60° | (180 – 60) / 2 | 60° | 1.0472 rad |

90° | (180 – 90) / 2 | 45° | 0.7854 rad |

120° | (180 – 120) / 2 | 30° | 0.5236 rad |

135° | (180 – 135) / 2 | 22.5° | 0.3927 rad |

150° | (180 – 150) / 2 | 15° | 0.2618 rad |

**Conversion equation**: Radians = Degrees × (π / 180)

## Miter Angle Formula

The **miter angle formula** is:

**Miter Angle = (180 – Corner Angle) / 2**

This formula works for **symmetrical joints** where both pieces are cut at the same angle.

Let’s look at some examples:

```
For a 90-degree corner:
Miter Angle = (180 - 90) / 2 = 45 degrees
For a 120-degree corner:
Miter Angle = (180 - 120) / 2 = 30 degrees
```

## Miter Angle Chart

Corner Angle | Miter Angle |
---|---|

60° | 60° |

90° | 45° |

120° | 30° |

135° | 22.5° |

150° | 15° |

## How do you calculate miter angle?

To calculate a **miter angle**:

**Identify the corner angle** you’re working with.

**Subtract** this angle from **180 degrees**.

**Divide** the result by **2**.

For instance, if you’re working with a **108-degree corner**:

Corner angle =

108°

180° – 108° = 72°

72° / 2 = 36°

The miter angle for each piece would be **36 degrees**.

## How to calculate miter and bevel angles

To calculate **compound miter and bevel angles**:

- Determine the
**corner angle**. - Use a
**compound miter angle calculator**or specialized tables. - Find the corresponding
**miter**and**bevel angles**for your specific corner angle and material slope.

For example, for a **90-degree corner** with a **30-degree slope**:

```
Miter angle ≈ 35.3°
Bevel angle ≈ 30°
```

**Miter angles** are cuts made across the **face** of the material, while **bevel angles** are cuts made through the **thickness** of the material. For **compound cuts** involving both miter and bevel angles, the calculations become more complex.

## How to cut a 90 degree angle

Cutting a **perfect 90-degree angle** involves these steps:

**Mark**your cutting line precisely.- Set your saw to a
**45-degree miter angle**. - Make a
**practice cut**on scrap material to ensure accuracy. **Cut**your workpiece, ensuring the blade aligns perfectly with your mark.**Repeat**for the adjoining piece.**Test fit**the pieces to ensure they form a**90-degree angle**when joined.

## What is the formula for cutting angles?

The formula for cutting angles depends on the type of joint:

For **miter joints**: Cutting Angle = (180 – Corner Angle) / 2

For **butt joints**: Cutting Angle = (Corner Angle) / 2

## What is the miter angle for 135 degrees?

Let’s calculate the **miter angle** for a **135-degree corner**:

Miter Angle = (180 – Corner Angle) / 2

Miter Angle = (180 – 135) / 2

Miter Angle = 45 / 2

Miter Angle =22.5 degrees

To create a **135-degree corner**, you need to cut each piece at a **22.5-degree angle**.

## How do you miter a 140 degree angle?

To miter a **140-degree angle**:

```
Use the miter angle formula: Miter Angle = (180 - 140) / 2 = 40 / 2 = 20 degrees
Set your miter saw to 20 degrees.
Cut both pieces at this angle.
When joined, these pieces will form a 140-degree corner.
```

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