Answer:
m∠1 = 106°
Explanation:
Here the lines "a" and "b" are parallel and m∠6 = 74°.
We need to find m∠1 .
It is clearly know that from the given information, two parallel lines "a" and "b" cut by a transversal line.
I have attached the figure here. Please have a look at it.
From the figure ∠1 and ∠6 are inside adjacent angles. They add upto 180 degrees.
Therefore, m∠1 + m∠6 = 180°
Given: m∠6 = 74°
So, 74° + m∠1 = 180°
Subtracting 74° from both sides, we get
74° - 74° + m∠1 = 180° - 74°
m∠1 = 106°