Respuesta :

Answer:

47°

Step-by-step explanation:

so a straight line is 180°

It gives us 82° for line D, so to find angle C, we must do 180° - 82° = 98 °

Hopefully you know that a triangle is also 180°

we know two angles: 35, 98

35° + 98° = 133°

180°-133°= 47°

47° is angle B

Answer:

m<B = 47°

Step-by-step explanation:

<ACD is a straight angle and this angle is exactly 180 degrees

As you know

<ACB + <BCD = <ACD

<ACB + 82 = 180

<ACB = 180 - 82

<ACB = 98°

Sum of interior angles in a triangle = 180°

So

<A + <B + <ACB = 180°

35° +<B + 98° = 180°

<B + 133° = 180°

<B = 180° - 133°

<B = 47°