Given m∥n, find the value of x and y.
will give brainiest

The values of x and y are 15 and 63, respectively

The angles in the figure are: (9x - 7)° and (4x - 8)°

These angles are adjacent angles.

So, we have:

Collect like terms

Divide both sides by 13

Also, we have:

-- interior angles

Subtract 2 from both sides

Substitute 15 for x

Divide both sides by 2

Hence, the values of x and y are 15 and 63, respectively

Read more about angles in parallel lines at:

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The value of x and y are x = 15 and y = 63

Step-by-step explanation:

From the given figure

∵ The angles of measures (9x - 7)° and (4x - 8)° are adjacent angles

∵ The angles of measures (9x - 7)° and (4x - 8)° formed a line

∴ They formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

→ That means add them and equate the sum by 180

∴ (9x - 7) + (4x - 8) = 180

→ Add the like terms

∵ (9x + 4x) + (-7 + -8) = 180

∴ 13x + (-15) = 180

→ Remember (+)(-) = (-)

∴ 13x - 15 = 180

→ Add 15 to both sides

∴ 13x - 15 + 15 = 180 + 15

∴ 13x = 195

→ Divide both sides by 13

∵ =

∴ x = 15

∵ Lines m and n are parallels

∵ A line intersected them

∵ The angles of measures (2y + 2), (9x - 7) are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ 2y + 2 = 9x - 7

∵ x = 15

→ Substitute the value of x

∴ 2y + 2 = 9(15) - 7

∴ 2y + 2 = 135 - 7

∴ 2y + 2 = 128

→ Subtract 2 from both sides

∴ 2y + 2 - 2 = 128 - 2

∴ 2y = 126

→ Divide both sides by 2

∴ =

∴ y = 63

d is the only accurate one

step-by-step explanation:

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.