Final Answer:
The value of x is 25 .
Step-by-step explanation:
1. Given Information:
∠1 and ∠6 are alternate exterior angles.
m∠1 = 125°
m∠6 = 5x
2. Alternate Exterior Angles Property:
Alternate exterior angles formed by a transversal intersecting two parallel lines are equal in measure.
3. Applying the Property:
Therefore, m∠1 = m∠6.
4. Substituting Values and Solving for x:
125° = 5x
5x = 125°
x = 125° / 5
5. Conclusion:
x = 25
Therefore, the value of x is 25.
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Complete Question
Angle 1 and 6 are alternate exterior angles. If m∠1=125 degrees, and m∠6=5x, find the value of x.
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