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masya89 [10]
3 years ago
10

Circles and angles: find f

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

130°

Step-by-step explanation:

e =  \frac{1}{2} (100 \degree - 80 \degree) \\  \\ e =  \frac{1}{2}  \times 20 \degree \\  \\ e = 10 \degree \\  \\ a =  \frac{1}{2}  \times 80 \degree \\  \\ a = 40 \degree \\  \\ by \: interior \:  \angle \: sum \: postulate \: of \: a \:  \triangle \\ a + e + f = 180\degree \\40\degree + 10\degree + f = 180\degree \\50\degree + f = 180\degree \\f = 180\degree - 50\degree \\\huge \red {\boxed {f = 130\degree}}

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