Question

Help please! The division Axiom would allow us to say which two angles are equal?

Answer 1

Answer:

The correct option is;

(3) ∠ADB and ∠BDC

Step-by-step explanation:

From the division axiom, we have;

(a+a)/a = 2·a/a = 2

The given parameters are;

m∠ADC = m∠ABC

$\overline {BD}$ bisects ∠ADC and ∠ABC

Therefore;

∠ADB ≅ ∠BDC

∠ABD ≅ ∠CBD

Therefore;

∠ADB/∠CBD = ∠BDC/∠ABD

Given that m∠ADC = m∠ABC and ∠CBD = 1/2 × m∠ABC = 1/2 × m∠ADC = ∠ABD, we are allowed to say, ∠ADB and ∠BDC are equal.