Question

07. Calcula "0" a) 32° b) 34° c) 36° d) 38° e) 40° D 19° A B/2 B/2 B 25° 25° C​

Answer 1

Respuesta:

38°

Explicación paso a paso:

∆ BCD:

19 + 25 + (180 - β + β/2) = 180°

44 + 180 - β/2 = 180

44 + 180 - 180 = β/2

44 = β/2

β = 44(2)

β = 88

ángulo externo del ∆ ABC:

β/2 + β/2 = θ + 25 + 25

2β/2 = θ + 50

β = θ + 50

θ = β - 50

θ = 88 - 50

θ = 38°