Question

Use the diagram to find the measure of each angle.

Enter your answers in the table.
Measure (degrees)
DBC: 50
ABC:
EBD:
ABE:

Answer 1

<ABC = 130 degrees

<EBD = 130 degrees

<ABE = 50 degrees

Explanation:

Answer 2

Explanation:

∠ABC + ∠DBC = 180 {Linear pair}

∠ABC + 50 = 180

∠ABC = 180 - 50

∠ABC = 130

∠EBD = ∠ABC {Vertically opposite angles}

∠EBD = 130

∠ABE = ∠DBC {Vertically opposite angles}

∠ABE = 50