Question

Find the measures of the requested angles.

Answer 1

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)