If BD bisects the angle, then the two smaller angles are congruent.
That means their measures are equal.
That means that
2y-3 = y+12
y=15
Now you can determine the measures.
Ray BD is the bisector of ∠ABC. m∠ABD=2y-3, M∠DBC=y+12. Find the measure of ∠ABC.
2 answers
Statements
Ray BD bisects ∠ABC
m∠ABD = m∠DBC
m∠ABD + m∠DBC = m∠ABC
m∠ABD + m∠ABD = m∠ABC
2m∠ABD = m∠ABC
m∠ABD = ½m∠ABC
Ray BD bisects ∠ABC
m∠ABD = m∠DBC
m∠ABD + m∠DBC = m∠ABC
m∠ABD + m∠ABD = m∠ABC
2m∠ABD = m∠ABC
m∠ABD = ½m∠ABC
1 answer