Answer:
25. x=19
26. 16=x
27 28=x
28. 24=x
Step-by-step explanation:
25. The two angles make a straight line (180 degrees)
6x-17 + 3x+26 = 180
Combine like terms
9x +9 = 180
Subtract 9 from each side
9x+9-9=180-9
9x = 171
Divide by 9
9x/9 = 171/9
x=19
26. These angles are corresponding angles and corresponding angles are equal if the lines are parallel
4x+20 = 6x-12
Subtract 4x from each side
4x-4x+20 = 6x-4x-12
20 =2x-12
Add 12 to each side
20+12 = 2x-12+12
32=2x
Divide by 2
32/2 = 2x/2
16=x
27 These are alternate interior angles and alternate interior angles are equal if the lines are parallel.
4x+30 = 6x-26
Subtract 4x from each side
4x-4x+30 = 6x-4x-26
30 = 2x-26
Add 26 to each side
30+26 =2x-26+26
56= 2x
Divide by 2
56/2 = 2x/2
28=x
28. These are corresponding angles and corresponding angles are equal if the lines are parallel.
99=3x+27
Subtract 27 from each side
99-27 = 3x+27-27
72 = 3x
Divide by 3
72/3 = 3x/3
24=x
