Answer:
m∠5 = 34°
Explanation:
We have,
1. Line 'a' is parallel to line 'b' i.e. a || b
2. Measure of angle 1 is 34° i.e. m∠1 = 34°
Since, we know,
'Corresponding angles of parallel lines have equal measures'.
As, ∠1 and ∠5 are corresponding angles of parallel line 'a' and 'b'.
So, m∠5 = m∠1 = 34°
Thus, measure of angle 5 is 34° i.e. m∠5 = 34°.