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Answer :

Luv2Teachgo

Answer:

Step-by-step 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.

Amphitrite1040go

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{5x + 3 + 9x - 20 = 151^\circ}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{14x - 17 = 151^\circ}[/tex]

[tex]\huge\textbf{ADD 17 to BOTH SIDES}[/tex]

[tex]\mathsf{14x - 17 + 17 = 151 + 17}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{14x = 151 + 17}[/tex]

[tex]\mathsf{14x = 168}[/tex]

[tex]\huge\textbf{DIVIDE 14 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{14x}{14} = \dfrac{168}{14}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{168}{14}}[/tex]

[tex]\mathsf{x = 12}[/tex]

[tex]\huge\textbf{Thus, your answer should be: \boxed{\mathsf{x = 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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