Answer:
m ∠1 = 95.
Explanation:
Given : Line a is parallel to line b, angle 6 = 85, and angle 3 =2x.
To find : Find m ∠1.
Solution : We have given that Line a is parallel to line b,
By the transversal angles property : m ∠3 and m ∠6 are the pair of interior angles on the same side of the transversal is supplementary.
m ∠3 + m ∠6 = 180
2x + 85 = 180 .
2x = 180 -85.
2x = 95
Then m ∠3 = 95.
m ∠3 and m ∠1 are vertically opposite angles are equal.
m ∠3 = m ∠1
m ∠1 = 95.
Therefore, m ∠1 = 95.