Question

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.

Answer 1

35 degrees

Step-by-step explanation:

ABC is given 85*

BCD is given 120*

From BCD we can determine BCA which is 60*

85 plus 60= 145

180-145=35

BAC is 35*

Answer 2

Answer:
`\angle BAC=35^(\circ)`

Step-by-step explanation:

Here, In
`\triangle ABC`, Side AC is the base. A ray extends through vertex C and passes through a point labeled as D.

And,
`\angle BCD=120^(\circ)` and
`\angle ABC=85^(\circ)`

Since,
`\angle BCD` is the exterior angle of the
`\triangle ABC`

Therefore, by the property of exterior angle,

`\angle ABC+\angle BAC=120^(\circ)`

⇒
`\angle BAC=120^(\circ)-85^(\circ)=35^(\circ)`