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???!!!!????????????-example-1

2 Answers

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2x=720-(120+120+120+100+10)
2x=720-470
2x=250
simplify by dividing each side by 20
answer: x=125
User Prasad G
by
7.3k points
3 votes


\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Find the value of x & the angle measures.


\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

Given that,

  • Sum of angles = 720°

So, 120° + 100° + 120° + 120° + x° + (x + 10)° = 720°

Let's solve for x.


\tt\:120° + 100° + 120° + 120° + x° + (x + 10)° = 720° \\ \tt\: = 120° + 100° + 120° + 120° + 10 + x° + x = 720° \\ \tt\:= 470 + 2x = 720 \\ \tt\: = 2x = 720 - 470 \\ \tt\:2x = 250 \\ \tt\:x = (250)/(2) \\\boxed{ \bf\:x = 125}

We found that the value of x is 125.

______

Now, let's find the angle measures.

x° =
\boxed{\underline{\bf \: 125°}}

(x + 10)° = 125 + 10 =
\boxed{\underline{\bf \: 135°}}

User Chinnychinchin
by
7.9k points

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