Respuesta :

TalalBandar
2x=720-(120+120+120+100+10)
2x=720-470
2x=250
simplify by dividing each side by 20
answer: x=125
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[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • Find the value of x & the angle measures.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Given that,

  • Sum of angles = 720°

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

Let's solve for x.

[tex]\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 = \frac{250}{2} \\\boxed{ \bf\:x = 125}[/tex]

We found that the value of x is 125.

______

Now, let's find the angle measures.

x° = [tex]\boxed{\underline{\bf \: 125°}}[/tex]

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

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