Question

in ∆ ABC, if measure angle A is 7π/36, measure angle B is 120°, find measure angle C in degree and radian​

Answer 1

Answer:

$\angle \: A = \frac{7 \pi}{36} = \frac{7 \times 180\degree}{36} \\ = 7 \times 5\degree = 35\degree \: \\ \angle \: B = 120 \degree \\ by \: angle \: sum \: property \: of \: a \: \triangle \: we \: have: \\ \angle \: A + \angle \: B + \angle \: C = 180\degree \\ \therefore \: 35\degree + 120 \degree + \angle \: C = 180\degree \\ \angle \: C = 180\degree - 155\degree \\ \angle \: C = 25\degree \\\angle \: C \: in \: radian \: \\ \angle \: C = \frac{25 \times \pi^{c} }{180} \\ \angle \: C = \frac{5 \pi^{c} }{36}$