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Alinara [238K]
2 years ago
15

Find the value of the variables please please help me out I will mark you the brainly! Please please

Mathematics
2 answers:
RSB [31]2 years ago
4 0

Answer:

m = 54

Step-by-step explanation:

The secant- secant angle 20° is half the difference of the intercepted arcs, that is

\frac{1}{2} (160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )

- 2m + 148 = 40° ( subtract 148 from both sides )

- 2m = - 108 ( divide both sides by - 2 )

m = 54

morpeh [17]2 years ago
3 0

Answer:

20 = \frac{Far \ arc - Near \ arc}{2}\\\\20 = \frac{160 - (2m +12)}{2}\\\\40 = 160 - (2m + 12)\\2m + 12 = 160 - 40\\2m = 120 -12\\2m = 108\\m = 54

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