Respuesta :

Answer:

1.  Find < ACB

2. Use that triangles =180 to find <B  = 41

Step-by-step explanation:

1.We need to find < ACB

<ACB +<DBC= 180 They make a straight line

Subtract DBC from each side

<ACB = 180 - <DBC  

We know DCB = 113

ACB = 180 -113

ACB = 67

2.The three angles of a triangle = 180, so we can then find <B

<A +<B + <ACB = 180

72 + B + 67 = 180

Combine like terms

139+ <B = 180

Subtract 139 from each side

<B = 180-139

<B =41

Okay so this is all about interior angles.

And interior angles all add up to 180.

Since 113 is an exterior, you need to find the interior of C.

180-113=67°

Interior of C is 67°

Add 67 and 72.

now, 180=B+139

Subtract 139 from 180.

Your answer should be AngleB= 41°