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padilas [110]
3 years ago
11

14. A polygon ABCD is inscribed in a circle. Find angle ABC

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

m<ABC = 100degrees

m<IJG = 104degrees

Step-by-step explanation:

14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;

m<ADC + m<ABC = 180

3y+8+4y+4 = 180

7y + 12 = 180

7y = 180 - 12

7y = 168

y = 168/7

y = 24

Get <ABC

m<ABC  = 4y+4

m<ABC = 4(24) + 4

m<ABC = 96 + 4

m<ABC = 100degrees

15. Similarly for this;

GHI + IJG = 180

76 + m<IJG = 180

m<IJG = 180 - 76

m<IJG = 104degrees

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