6. In circle O shown in the diagram below, chords AB and CD are parallel. If arc AB = 104 and arc CD = 168, what is arc BD? O38 O 88

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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**Geometry Problems: Circles and Chords**

### Problem 6

In circle \( O \) shown in the diagram below, chords \( AB \) and \( CD \) are parallel. If arc \( AB = 104°\) and arc \( CD = 168°\), what is arc \( BD \)?

**Diagram**:

A circle \( O \) is drawn with two parallel chords \( AB \) and \( CD \). The chords and the center of the circle are labeled accordingly. Both chords do not intersect but are parallel to each other.

**Question Options**:
- A) 44°
- B) 38°
- C) 88°
- D) 96°

### Problem 7

In the diagram below, \( PA \) is tangent to circle \( O \) and \( AB \) is a chord. If \( m \angle ACB = 30° \), find the measure of \( \angle BAP \).

**Diagram**:

Not provided in the transcribed text. Based on the question:

Labels within the diagram should have a point \( P \) lying outside the circle touching it at a single point \( A \), making \( PA \) tangent to the circle. There is another point \( B \) on the circle, forming chord \( AB \) within the circle. There is an angle \( BAP \) to measure.

Feel free to reach out if you have further inquiries or need diagrammatic clarification or explanations.
Transcribed Image Text:**Geometry Problems: Circles and Chords** ### Problem 6 In circle \( O \) shown in the diagram below, chords \( AB \) and \( CD \) are parallel. If arc \( AB = 104°\) and arc \( CD = 168°\), what is arc \( BD \)? **Diagram**: A circle \( O \) is drawn with two parallel chords \( AB \) and \( CD \). The chords and the center of the circle are labeled accordingly. Both chords do not intersect but are parallel to each other. **Question Options**: - A) 44° - B) 38° - C) 88° - D) 96° ### Problem 7 In the diagram below, \( PA \) is tangent to circle \( O \) and \( AB \) is a chord. If \( m \angle ACB = 30° \), find the measure of \( \angle BAP \). **Diagram**: Not provided in the transcribed text. Based on the question: Labels within the diagram should have a point \( P \) lying outside the circle touching it at a single point \( A \), making \( PA \) tangent to the circle. There is another point \( B \) on the circle, forming chord \( AB \) within the circle. There is an angle \( BAP \) to measure. Feel free to reach out if you have further inquiries or need diagrammatic clarification or explanations.
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