https://file.aiquickdraw.com/mathbot/file/1729798463950tndxs2l8.jpg

The problem asks for the measure of angle ∠2 given that ∠1 measures 35° and the lines involved are parallel.

In the diagram:
- \( l \parallel m \)
- \( s \parallel t \)
- \( \angle 1 = 35^\circ \)

Since \( s \parallel t \), angles \( \angle 1 \) and \( \angle 2 \) are corresponding angles, and corresponding angles are always equal when lines are parallel. 

Thus, the measure of \( \angle 2 \) is also \( 35^\circ \).

The correct answer is **35°**.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What are alternate interior angles, and how do they relate to parallel lines?
2. How can you determine if two angles are supplementary when lines are parallel?
3. What is the relationship between corresponding angles and parallel lines?
4. How can the properties of transversal lines help in finding unknown angles?
5. How would the answer change if the lines were not parallel?

**Tip:** When working with parallel lines and transversals, always look for angle pairs like corresponding, alternate interior, or alternate exterior to find relationships easily.

In the figure below, lines l and m are parallel and lines s and t are parallel. If the measure of ∠1 is 35°, what is the measure of ∠2?

Solve for the measure of angle ∠2 given that ∠1 is 35° and the lines are parallel. Learn about corresponding angles and the properties of parallel lines and transversals. Ideal for students in grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation