The measure of ∠BCD is 120°. The measure of ∠ABC is 85°.What is measure of ∠BAC?Enter your answer in the box.°___A triangle A B C. Side A C is the base. A ray extends through vertex C and passes through a point labeled as D.
Accepted Solution
A:
Answer: [tex]\angle BAC=35^{\circ}[/tex]Explanation:Here, In [tex]\triangle ABC[/tex], Side AC is the base. A ray extends through vertex C and passes through a point labeled as D.And, [tex]\angle BCD=120^{\circ}[/tex] and [tex]\angle ABC=85^{\circ}[/tex] Since, [tex]\angle BCD[/tex] is the exterior angle of the [tex]\triangle ABC[/tex]Therefore, by the property of exterior angle,[tex]\angle ABC+\angle BAC=120^{\circ}[/tex]⇒[tex]\angle BAC=120^{\circ}-85^{\circ}=35^{\circ}[/tex]