Question

Naomi constructed a ray, , that

is the bisector of ∠ABC. Given that m∠ABD = 65.2,
what is m∠ABC? Please show your work.

Answer 1

Answer: m∠ABC=130.4 degrees

Explanation:

Since Angle ABC is bisected, Angle ABD is the smaller angle inside ABC.

ABC is being bisected by a line BD.

ABD*2=ABC

65.2*2=ABC

ABC=130.4 degrees

Answer 2

m∠ABC = 130.4°

Explanation:

Angle Bisector: The line that divides the angle into two equal parts.

If BD bisects ∠ABC then:

⇒ ∠ABD = ∠DBC

Given m∠ABD = 65.2° then:

⇒ ∠DBC = 65.2°

Therefore:

⇒ m∠ABC = m∠ABD + m∠DBC

⇒ m∠ABC = 65.2° + 65.2°

⇒ m∠ABC = 130.4°