50 degrees
20 degrees
120 degrees
80 degrees

∠ 2 = 50°

Step-by-step explanation:

5x + 55 and 2x + 100 are corresponding angles and are congruent, thus

5x + 55 = 2x + 100 ( subtract 2x from both sides )

3x + 55 = 100 ( subtract 55 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

5x + 55 = 5(15) + 55 = 75 + 55 = 130°

5x + 55 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - 130° = 50°

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.