Answer:
m∠ABD=37° and m∠DBC = 58°.
Step-by-step explanation:
Given information: m∠ABC=95°
From the given figure it is clear that m∠ABD=(2x+23)° and m∠DBC=9x-5° .
Substitute value of each angle in the above equation.
Comparing the measure we get
On combining like terms we get
Subtract 18 from both sides.
Divide both sides by 11.
The value of x is 7.
Therefore m∠ABD=37° and m∠DBC = 58°.