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Talja [164]
3 years ago
13

???!!!!????????????

Mathematics
2 answers:
lana [24]3 years ago
5 0
2x=720-(120+120+120+100+10)
2x=720-470
2x=250
simplify by dividing each side by 20
answer: x=125
nataly862011 [7]3 years ago
4 0

\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 =  \frac{250}{2}  \\\boxed{ \bf\:x = 125}

We found that the value of x is <u>125</u><u>.</u>

______

Now, let's find the angle measures.

x° = \boxed{\underline{\bf \: 125°}}

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

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