Answer:
1) m∠ = 80 degrees
2) m∠1 = 60 degrees
Step-by-step explanation:
Problem 1)
Find m∠3 if m∠5 = 38 and m∠6 = 62.
m∠5 + m∠6 +m∠7 = 180 degrees
38 + 62 + m∠7 = 180
m∠7 = 180 - 100
m∠7 = 80
Here line l and m are parallel, therefore, alternative interior angles are equal.
Therefore, m∠7 = m∠3 = 80
Hence, m∠3 = 80 degrees
Problem 2)
Here line l and m are parallel, therefore, alternative interior angles are equal.
m∠1 + 30 = 90
m∠1 = 90 - 30
m∠1 = 60 degrees
Hope this will helpful.
Thank you.
