Question

Hey can someone help?

Answer 1

The value of the given variable x in the missing angles is; x = 12°

How to find alternate Angles?

Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.

Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.

Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;

(8x + 4)° =  (6x + 28)°

Rearranging this gives us;

8x - 6x = 28 - 4

2x = 24

x = 24/2

x = 12°

Read more about Alternate Angles at; brainly.com/question/24839702

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Answer 2

Answer:

x = 8

Step-by-step explanation:

When two line are parallel, alternate angles are equal to each other.

Therefore,

<4 = <6

8x + 4 = 5x + 28

Now, let us solve the above equation and find the value of x.

First, subtract 5x from both sides.

8x - 5x + 4 = 28

3x + 4 = 28

Subtract 4 from both sides.

3x = 28 - 4

3x = 24

Divide both sides by 3.

x = 8