Given that m∠3 = 74 degrees
(a)m∠3 = m∠1 (Corresponding Angles)
Therefore: m∠1 = 74 degrees
(b)m∠1 = m∠2 (Vertical Angles)
Therefore: m∠2 = 74 degrees
(c)m∠3 = m∠4 (Vertical Angles)
Therefore: m∠4 = 74 degrees
(d)Angles 1 and 5 are linear pairs. Therefore:
m∠1 +m∠5=180 degrees
74+m∠5=180 degrees
m∠5=180-74 =106 degrees
(e)m∠5 = m∠6 (Vertical Angles)
Therefore: m∠6 = 106 degrees
(f)m∠5 = m∠7 (Corresponding Angles)
Therefore: m∠7 = degrees
(g)