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Bogdan [553]
3 years ago
13

How to do this question plz answer me step by step plzz ​

Mathematics
1 answer:
finlep [7]3 years ago
7 0

Answer:

30, 85, 95, 150

Step-by-step explanation:

The angles of a quadrilateral add to 360

Let x be the smallest angle

x+55

x+65

x+120 are the other three angles

Add the 4 angles together and they sum to 360

x+x+55 x+65+ x+120 = 360

Combine like terms

4x+240 = 360

Subtract 240 from each side

4x+240-240 = 360 -240

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

x+55= 30+55 = 85

x+65 = 30+65 = 95

x+120 = 30+120 = 150

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Inscribed Circle Center: [5, 5]

Circumscribed Circle Center: [17.5, 6]

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