Parallel lines r and s are intersected by a transversal line m. Label a pair of corresponding angle measures (6x +11) and (3y+8)°. The angle labeled (3y + 8)° i
Question
Label a pair of corresponding angle measures (6x +11) and (3y+8)°.
The angle labeled (3y + 8)° is a linear pair with an angle measure of (10x  13)°.
Set up algebra equations and solve for x and y.
2 Answer

1. User Answers zarailic43
Answer: x= 8 y= 17
Stepbystep explanation: 6*8 = 48+11=59
3*17=51+8=59

2. User Answers semsee45
Answer:
x = 11.375
y = 23.75
Stepbystep explanation:
Corresponding angles: A pair of angles that are in the same relative position at each point where a straight line intersects two other straight lines.
If the two lines are parallel, the corresponding angles are equal.
Therefore:
⇒ (6x + 11)° = (3y + 8)°
⇒ 6x + 11 = 3y + 8
⇒ 6x + 3 = 3y
⇒ 3y = 6x + 3
Angles on a line sum to 180°.
Therefore:
⇒ (3y + 8)° + (10x  13)° = 180°
⇒ 3y + 8 + 10x  13 = 180
⇒ 3y + 10x = 185
⇒ 3y = 185  10x
Substitute the first equation into the second equation and solve for x:
⇒ 6x + 3 = 185  10x
⇒ 16x = 182
⇒ 16x = 182
⇒ x = 11.375
Substitute the found value of x into one of the equations and solve for y:
⇒ 3y = 6(11.375) + 3
⇒ 3y = 68.25 + 3
⇒ 3y = 71.25
⇒ y = 23.75