Question

(12 + Brainliest) In need of help, find the value of x and y (problem in the following image)

Answer 1

Answer:

a.) x = 5 ,   y = 10  b.) y = 6, x = not enough information

Step-by-step explanation:

a.)

130 + (4y + 10) = 180

4y + 10 = 50

4y = 40

y = 10

4(10) + 10 = 50

26x + 50 = 180

26x = 130

x = 5

b.)

91 + (20y - 31) = 180

20y - 31 = 89

20y = 120

y = 6

x = not enough information

Answer 2

Answer:

Step-by-step explanation:

Diagram A

Corresponding angles + vertically opposite angles are  equal

26x = 130                 Divide by 26

26x/26 = 130/26

x = 5

Angles that follow one another are supplementary

4y + 10 + 130 = 180

4y + 140 = 180                     Subtract 140 from both sides

4y = 180 - 140                      Combine

4y = 40                                Divide by 4

y = 40/4

y = 10

Part B

Corresponding angles are equal

15x + 16 = 91                          Subtract 16 from both sides

15x = 91 - 16

15x = 75                                 Divide by 15

15/15 = 75/15

x = 5

Consecutive angles are supplementary

20y - 31 + 91 = 180

20y + 60 = 180                      Subtract 60 from both sides

20y = 120                               Divide by 20

20y/20 = 120/20

y = 6