Question

Lines l and m are parallel. Parallel lines l and m are cut by transversals s and t. Clockwise from top left, the angles formed by s, t, and l are blank, 85 degrees, (2 x) degrees, (x minus 10) degrees, 1, blank; formed by s and m are blank, 2, blank, blank; formed by t and m are 3, blank, blank, blank. What is the measure of angle 3? 25 degrees 35 degrees 70 degrees 85 degrees

Answer 1

a

Explanation:

edge 2020

Answer 2

25 degrees

Explanation:

In the picture attached, the lines and the angles are shown. There we can see that:

85° + 2x° + (x-10)° = 180°

75 + 3x = 180

x = (180 - 75)/3

x = 35°

∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:

∠3 = x - 10

∠3 = 35 - 10

∠3 = 25°