Answer:
∠ 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°
