Question

Line a is parallel to line b, m 6=85, and m 3=2x. Find m 1.

Answer 1

Since a line =180 degrees you could set it up as (180-85) and you would get 95.
Hope this helps!!!

Answer 2

Answer:

m ∠1 = 95.

Step-by-step 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.