Question

In the figure shown, r || s. If the measure of ∠ 2 = 146°, what is the measure of ∠ 7

Answer 1

34°

Explanation:

1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.

2. (Solving for ∠1)

• 
  `146 + x = 180`
• 
  `146 + x - 146 = 180 - 146`
• 
  `x = 34`

3. Now, since we know ∠1 = ∠7, ∠7 = 34°.