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Answer:
124°
Step-by-step explanation:
To determine the measure of angle 7 in the given diagram where angle 8 is 124° and angle 2 is 84°, we can use the properties of alternate interior angles formed by a transversal intersecting two parallel lines.
Given:
- Angle 8 = 124°
- Angle 2 = 84°
Solution:
- Angle 8 and angle 2 are supplementary angles since they form a linear pair (180°).
- Therefore, angle 8 + angle 2 = 180°
- 124° + 84° = 208°
In a transversal intersecting two parallel lines:
- Angle 7 and angle 8 are alternate interior angles.
- Alternate interior angles are congruent when the lines are parallel.
Since angle 8 is 124°, angle 7 will also be 124°.
Therefore, the measure of angle 7 is 124°.