The value of m∠7, given the data from the question is 80°
Alternate angle theorem
Alternate angle theorem states as follow:
When two parallel lines are cut by a line (i.e transversal), then the alternate interior angles or alternate exterior angles are aqual.
How to determine the value of m∠7
From the diagram,
- Line l and line m are parallel lines
- m∠3 and m∠7 are alternate angles
- m∠3 = 80°
- m∠7 =?
From the above, we can see that m∠3 and m∠7 are alternate angles.
Therefore,
m∠7 = m∠3
m∠7 = 80°
Learn more about alternate angles:
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Complete question
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