179k views
0 votes
If m∠1=125 degrees, and m∠6=5x, find the value of x.

User BarelyFitz
by
8.2k points

1 Answer

5 votes

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.

""

Complete Question

Angle 1 and 6 are alternate exterior angles. If m∠1=125 degrees, and m∠6=5x, find the value of x.

""

User WhoIsJack
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories