Question

Find m∠3 if m∠5 = 38 and m∠6 = 62.

Answer 1

The answer is 80 angle 5 and angle 6 equal to 100 and a triangle is 180 deg. 100+80 = 180

Answer 2

1) m∠ = 80 degrees

2) m∠1 = 60 degrees

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.