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)° is a linear pair with an angle measure of (10x - 13)°.
Set up algebra equations and solve for x and y.

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

⇒ 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

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)° is a linear pair with an angle measure of (10x - 13)°. Set up algebra equations and solve for x and y.

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Otras preguntas

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)° is a linear pair with an angle measure of (10x - 13)°.
Set up algebra equations and solve for x and y.