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25 POINTS !!!!!!!! PLEASE HELP FAST find the value of x in each case

25 POINTS !!!!!!!! PLEASE HELP FAST find the value of x in each case-example-1
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User Kartik
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Greetings from Brasil...

According to the theory, we have

→ opposite angles by the vertex

→ corresponding angles

(see second attachment)

Then

2X + m = 4X

m = 2X

and

6X + 2X = 180

8X = 180

X = 22.5

25 POINTS !!!!!!!! PLEASE HELP FAST find the value of x in each case-example-1
25 POINTS !!!!!!!! PLEASE HELP FAST find the value of x in each case-example-2
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User Vahan Babayan
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8.0k points

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