Question

Circles and angles: find f

Answer 1

130°

Explanation:

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