Question

25 Pts + Brainliest for the first correct answer.

Answer 1

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