Question

Find the value of x and y

Answer 1

Answer:

x = 2, y = 29

Step-by-step explanation:

3y+19 = 106

3y = 106-19

3y = 87

y = 87/3

y = 29

2x+9 = x+11

2x-x = 11-9

x = 2

Answer 2

Answer:

x = 2

y = 29

Step-by-step explanation:

2x + 9 and x + 11 are sides that are congruent to one another, so set them equal, like so:

2x + 9 = x + 11

Subtract x from both sides:

x + 9 = 11

Subtract 9 from both sides:

x = 2

Solving for y, the opposite angles are congruent to one another, so set them equal, like so:

3y + 19 = 106

Subtract 19 from both sides:

3y = 87

Divide both sides by 3:

y = 29