Answered

Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.

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

How Do I Get The Answer To This Step By Step class=

Sagot :

Luv2Teachidn

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.

Amphitrite1040idn

[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]

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.