Question

1) In the figure below, m_2 = 60°. Find the measure of each angle. Write which postulate(s) or

theorem(s) you used.
a ) angle 1
b) angle 2
c) angle 8 ​

Answer 1

Explanation:

From the picture attached,

Two lines are the parallel lines and a third line (transversal line) is intersecting these parallel lines.

m∠2 = 60°

a). m∠1 + m∠2 = 180°

m∠1 + 60° = 180°

m∠1 = 180° - 60°

m∠1 = 120°

b). m∠2 = 60° [Given]

c). m∠2 = m∠8 = 60° [Alternate exterior angles are equal]