Read the Source/Text given below and answer the questions:
There were two parallel roads AM and XY in New Delhi. Due to increasing pollution, MCD planned to get planted trees on these roads.
On the road AM, plants of Ashoka were planted by one company.
  While on the road XY mango trees were planted by another company. Between these roads three streets St 1, St 2 and St 3 were situated. During the survey, ∠ BPQ was measured to be 70° and other angles p, q, r, s and t were also measured. Now answer the following questions:
i. What is the measure of ∠p?
a. 60° b. 70° c. 160° d. 100°

To solve the problem, we need to use some principles of geometry. Specifically, we'll apply the properties of angles formed by parallel lines and transversals.

Given:
- The roads AM and XY are parallel.
- \(\angle BPQ = 70^\circ\).
- Angles \(p\), \(q\), \(r\), \(s\), and \(t\) are also measured.

Since AM and XY are parallel, and BPQ seems to involve a transversal intersecting the parallel lines, the following rules are useful:
- **Corresponding Angles**: Angles on the same side of the transversal and in corresponding positions are equal.
- **Alternate Interior Angles**: Angles on opposite sides of the transversal but inside the parallel lines are equal.
- **Co-interior (or Consecutive Interior) Angles**: Angles on the same side of the transversal and inside the parallel lines add up to \(180^\circ\).

**For angle \(p\)**:
- If \(\angle BPQ\) is 70°, and angle \(p\) is either a corresponding angle or an alternate interior angle to \(\angle BPQ\), then \(\angle p\) must also be \(70^\circ\).

Hence, the correct answer is:
**b. 70°**

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Do you want more details or have any questions?

Here are 5 related questions:
1. What is the measure of angle \(q\) if it is a corresponding angle to \(\angle BPQ\)?
2. How would you calculate angle \(r\) if it forms a straight line with \(\angle BPQ\)?
3. If \( \angle s \) is an alternate interior angle to \( \angle BPQ \), what is its measure?
4. Can you explain why alternate interior angles are equal when a transversal intersects two parallel lines?
5. How does the sum of angles on a straight line help determine unknown angles?

**Tip:** When dealing with parallel lines and transversals, remember the key relationships between corresponding, alternate interior, and co-interior angles. These rules are fundamental in solving such problems.

Explore a geometry problem involving angles formed by parallel roads in New Delhi. Learn how to determine angle measurements using principles of corresponding angles and alternate interior angles. Suitable for Grades 7-9.

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