Question

Anyone mind helping with these last two questions

Answer 1

x = 12 and x = 43

Explanation:

(5x - 48)°and x° are vertically opposite angles and are congruent , that is

5x - 48 = x ( subtract x from both sides )

5x - x - 48 = x - x ( simplify )

4x - 48 = 0 ( add 48 to both sides )

4x - 48 + 48 = 0 + 48 ( simplify )

4x = 48 ( divide both sides by 4 )

`(4)/(4)` x =
`(48)/(4)` , that is

x = 12

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x° and (3x + 8)° are a linear pair and sum to 180°

sum the 2 angles and equate to 180

x + 3x + 8 = 180

4x + 8 = 180 ( subtract 8 from both sides )

4x + 8 - 8 = 180 - 8 ( simplify )

4x = 172 ( divide both sides by 4 )

`(4)/(4)` x =
`(172)/(4)` , that is

x = 43