Question
Anika constructed ray AC that bisected ∠A . If the m∠BAD is 46 degrees, what is the m∠BAC ?
(1 point)
Responses
The m∠BAC=m∠DAC.
The m angle upper B upper A upper C equals m angle upper D upper A upper C .
The m∠BAC is 46 degrees.
The m angle upper B upper A upper C is 46 degrees.
The m∠BAC is 92 degrees.
The m angle upper B upper A upper C is 92 degrees.
The m∠BAC is 23 degrees.
(1 point)
Responses
The m∠BAC=m∠DAC.
The m angle upper B upper A upper C equals m angle upper D upper A upper C .
The m∠BAC is 46 degrees.
The m angle upper B upper A upper C is 46 degrees.
The m∠BAC is 92 degrees.
The m angle upper B upper A upper C is 92 degrees.
The m∠BAC is 23 degrees.
Answers
GPT-4o mini
If Ray AC bisects ∠A, it means that ∠BAC is equal to ∠DAC.
Given that m∠BAD = 46 degrees, we can express ∠A as:
m∠A = m∠BAD + m∠DAC
Since AC bisects ∠A, we can say:
m∠BAC = m∠DAC
Let m∠BAC = x. Thus, we have:
m∠BAD + m∠DAC = 46 + x = 2x
Setting these equal, we get:
46 + x = 2x
Solving this equation:
46 = x
Therefore,
m∠BAC = 46 degrees.
So, the correct response is:
**The m∠BAC is 46 degrees.**
Given that m∠BAD = 46 degrees, we can express ∠A as:
m∠A = m∠BAD + m∠DAC
Since AC bisects ∠A, we can say:
m∠BAC = m∠DAC
Let m∠BAC = x. Thus, we have:
m∠BAD + m∠DAC = 46 + x = 2x
Setting these equal, we get:
46 + x = 2x
Solving this equation:
46 = x
Therefore,
m∠BAC = 46 degrees.
So, the correct response is:
**The m∠BAC is 46 degrees.**