**Known values:**

Horizontal angle ** θ**.

Vertical angles ** α**,

**.**

*β***Solution:** Angle ** φ** in inclined plane AB

_{1}C.

In vertical triangles ABB_{1} and CBB_{1}:

In triangle ABC,

Similarly, in triangle AB_{1}C,

Then

That is

Since

That is

Then

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- Calculation example - Calculate inclined angle of a bend

**Calculate the inclined angle φ**

**Known values:**

Horizontal angle ** θ**.

Vertical angles ** α**,

**Solution:** Angle ** φ** in inclined plane AB

In vertical triangles ABB_{1} and CBB_{1}:

In triangle ABC,

Similarly, in triangle AB_{1}C,

Then

That is

Since

That is

Then

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Calculation Examples