Answer:
23) 30°
24) 12°
Explanation:
23) Lines will be parallel if the co interior angles are supplementary.
∠3 + ∠5 = 180°
3x+ 25 + 4x - 55 = 180
3x + 4x + 25 -55 = 180
Combine like terms,
7x - 30 = 180
Add 30 to both sides,
7x = 180 + 30
7x = 210
Divide both sides by 7,
x = 210 ÷ 7
x = 30
24) If the lines are parallel, then the alternate interior angles are congruent.
∠7 = ∠2
11x - 36 = 8x
Add 36 to both sides,
11x = 8x + 36
Subtract 8x from both sides,
11x - 8x = 36
3x = 36
x = 36 ÷ 3
x = 12°