Question

Hey can anyone help with this question please and thank you

Answer 1

Answer:

x = 8

Step-by-step explanation:

< (7x - 4)° and < (3x + 28)° are Alternate interior angles that do not have a common vertex on alternate sides of the transversal, t. Therefore, they have the same measure.

We can establish the following equality statement to solve for x :

< (7x - 4)° = < (3x + 28)°

Subtract 3x from both sides:

7x -3x - 4 = 3x - 3x + 28

4x - 4 = 28

Add 4 to both sides:

4x - 4 + 4 = 28 + 4

4x = 32

Divide both sides by 4 to solve for x:

4x/4 = 32/4

x = 8.

To verify whether the value of x is correct, substitute x = 8 into the equality statement:

< (7x - 4)° = < (3x + 28)°

< [(7(8) - 4]° = < [3(8) + 28]°

< (56 - 4)°  = < (24 + 28)°

< 52° = < 52° (True statement. Therefore, the correct answer is x = 8).

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Answer 2

Answer:

(7x-4)°= (3x+28)°. ( :. m || n, so it is alternate angle)

7x° - 4° = 3x° + 28°

4x° = 32°

x = 32/8

x = 4°