Question

Find the values of x and y in the figure please I need done ASAP

Answer 1

x = 21

y = 4

Explanation:

For F.

Co-interior angles are a pair of angles that lie on opposite sides of a transversal and inside two parallel lines. They are also called consecutive interior angles. Co-interior angles are supplementary, which means that they add up to 180 degrees.

In this case:

(6x - 32)° and (4x + 2)° are co interior angles.

So,

(6x - 32)° + (4x + 2)° = 180°

Combine the terms with x on one side of the equation:

(6x - 32)° + (4x + 2)° = 180°

(6x + 4x)° - 32° + 2° = 180°

10x - 30° = 180°

Add 30° on both sides:

10x - 30° + 30° = 180° + 30°

10x = 210°

Divide both sides by the coefficient of x:

`\sf x =( 210)/(10)`

x = 21

So, the value of x is 21.

`\hrulefill`

For N.

Alternate interior angles are formed when a transversal intersects two parallel lines. They are the angles that are on the opposite sides of the transversal and inside the two parallel lines.Alternate interior angles are congruent, which means that they have the same measure.

In this case:

(10y + 4)° and (11y)° are alternate interior angles.

So,

(10y + 4)° = (11y)°

Subtract 10y on both sides:

(10y + 4 - 10y)° = (11y - 10y)°

4° = y°

y = 4

Therefore, the value of y is 4.