Questions: Which of the following pairs of angles are corresponding angles? angle 7 and angle 3 angle 1 and angle 3 Two of these angle 8 and angle 5

Which of the following pairs of angles are corresponding angles? angle 7 and angle 3 angle 1 and angle 3 Two of these angle 8 and angle 5
Transcript text: Which of the following pairs of angles are corresponding angles? $\angle 7$ and $\angle 3$ $\angle 1$ and $\angle 3$ Two of these $\angle 8$ and $\angle 5$
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Solution

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Solution Steps

Step 1: Define corresponding angles

Corresponding angles are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two### Step 1: Identify Corresponding Angles Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others. In this case, we need to identify the pairs of angles that are in the same relative position at the intersections of lines \( w \) and \( a \) with line \( g \).

Step 2: Analyze the Diagram

From the diagram:

  • Angles \( \angle 1 \) and \( \angle 5 \) are corresponding angles.
  • Angles \( \angle 2 \) and \( \angle 6 \) are corresponding angles.
  • Angles \( \angle 3 \) and \( \angle 7 \) are corresponding angles.
  • Angles \( \angle 4 \) and \( \angle 8 \) are corresponding angles.
Step 3: Match the Options

Now, we match the pairs of corresponding angles with the given options:

  • \( \angle 7 \) and \( \angle 3 \) are corresponding angles.
  • \( \angle 1 \) and \( \angle 3 \) are not corresponding angles.
  • \( \angle 8 \) and \( \angle 5 \) are not corresponding angles.

Final Answer

The correct pair of corresponding angles is:

  • \( \angle 7 \) and \( \angle 3 \)
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