Question

How do I get the answer to this step by step?

Answer 1

Explanation:

The exterior angle is 151 degrees. The theorem states that the sum of its 2 remote interior angles, 5x+3 and 9x-20, will add up to this exterior angle. Therefore,

5x+3+9x-20 = 151 and

14x - 17 = 151 and

14x = 151 + 17

14x = 168 so

x = 12

If you want to find out the measure of each of these angles, just plug in 12 for x and do the math:

5(12) + 3 = 63 and

9(12) - 20 = 88 and

88 + 63 = 151 as it should.

Answer 2

`\huge\text{Hey there!}`

`\mathsf{5x + 3 + 9x - 20 = 151^\circ}`

`\huge\textbf{COMBINE the LIKE TERMS}`

`\mathsf{14x - 17 = 151^\circ}`

`\huge\textbf{ADD 17 to BOTH SIDES}`

`\mathsf{14x - 17 + 17 = 151 + 17}`

`\huge\textbf{SIMPLIFY IT!}`

`\mathsf{14x = 151 + 17}`

`\mathsf{14x = 168}`

`\huge\textbf{DIVIDE 14 to BOTH SIDES}`

`\mathsf{(14x)/(14) = (168)/(14)}`

`\huge\textbf{SIMPLIFY IT!}`

`\mathsf{x = (168)/(14)}`

`\mathsf{x = 12}`

`\huge\textbf{Thus, your answer should be: \boxed{\mathsf{x = 12}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`