Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
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Exercise 1 Page 134

Use the relationship of angles between parallel lines.

Angle Measure: 47^(∘)
Explanation: See solution.

Let's consider the given diagram.
angles

We know that line m is parallel to line n and that the measure of ∠ 2 is 47^(∘). To find the measure of ∠ 7, we will use the fact that when a transversal intersects parallel lines, alternate exterior angles are congruent. Since ∠ 2 and ∠ 7 are alternate exterior angles and parallel lines m and n are intersected by line t, these angles are congruent.

angles

Congruent angles have the same measure, so the measure of ∠ 7 is 47^(∘).