Identifying Unknown Angles Worksheets | Geometry - Free Printable

To solve the problem of identifying the unknown angles in the given worksheet, we need to use basic geometric principles, such as the properties of straight lines, right angles, and supplementary angles. Let's go through each problem step by step.

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Problem 1:

- Given: A right angle at \( \angle xoz = 90^\circ \).
- Unknown: \( \angle xoz \).

Since the angle is already labeled as \( 90^\circ \), the answer is:
\[
\boxed{90^\circ}
\]

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Problem 2:

- Given: \( \angle roq = 105^\circ \).
- Unknown: \( \angle roq \).

The angle is already labeled as \( 105^\circ \), so the answer is:
\[
\boxed{105^\circ}
\]

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Problem 3:

- Given: \( \angle acd = 60^\circ \).
- Unknown: \( \angle acd \).

The angle is already labeled as \( 60^\circ \), so the answer is:
\[
\boxed{60^\circ}
\]

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Problem 4:

- Given: \( \angle acd = 30^\circ \).
- Unknown: \( \angle acd \).

The angle is already labeled as \( 30^\circ \), so the answer is:
\[
\boxed{30^\circ}
\]

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Problem 5:

- Given: \( \angle xqp = 135^\circ \).
- Unknown: \( \angle xqp \).

The angle is already labeled as \( 135^\circ \), so the answer is:
\[
\boxed{135^\circ}
\]

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Problem 6:

- Given: \( \angle pts = 120^\circ \).
- Unknown: \( \angle pts \).

The angle is already labeled as \( 120^\circ \), so the answer is:
\[
\boxed{120^\circ}
\]

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Problem 7:

- Given: \( \angle xyb = 15^\circ \).
- Unknown: \( \angle xyb \).

The angle is already labeled as \( 15^\circ \), so the answer is:
\[
\boxed{15^\circ}
\]

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Problem 8:

- Given: \( \angle soq = 100^\circ \).
- Unknown: \( \angle soq \).

The angle is already labeled as \( 100^\circ \), so the answer is:
\[
\boxed{100^\circ}
\]

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Final Answers:

1. \( \angle xoz = 90^\circ \)
2. \( \angle roq = 105^\circ \)
3. \( \angle acd = 60^\circ \)
4. \( \angle acd = 30^\circ \)
5. \( \angle xqp = 135^\circ \)
6. \( \angle pts = 120^\circ \)
7. \( \angle xyb = 15^\circ \)
8. \( \angle soq = 100^\circ \)

\[
\boxed{90^\circ, 105^\circ, 60^\circ, 30^\circ, 135^\circ, 120^\circ, 15^\circ, 100^\circ}
\]