Question
Anika constructed ray AC that bisected LA. If the m LBAD is 46 degrees, what is the m/BAC?
(1 point)
• The m/BAC = m LDAC.
• The m LBAC is 46 degrees.
• The m LBAC is 23 degrees.
• The m LBAC is 92 degrees.
(1 point)
• The m/BAC = m LDAC.
• The m LBAC is 46 degrees.
• The m LBAC is 23 degrees.
• The m LBAC is 92 degrees.
Answers
GPT-4o mini
Given that ray AC bisects angle \( \angle BAD \) and that \( m\angle BAD = 46^\circ \), we can find \( m\angle BAC \).
Since ray AC bisects \( \angle BAD \), it divides \( \angle BAD \) into two equal parts:
\[
m\angle BAC = \frac{1}{2} m\angle BAD
\]
Substituting the value of \( m\angle BAD \):
\[
m\angle BAC = \frac{1}{2} \times 46^\circ = 23^\circ
\]
Therefore, the measure of angle \( BAC \) is:
**The m/BAC is 23 degrees.**
Since ray AC bisects \( \angle BAD \), it divides \( \angle BAD \) into two equal parts:
\[
m\angle BAC = \frac{1}{2} m\angle BAD
\]
Substituting the value of \( m\angle BAD \):
\[
m\angle BAC = \frac{1}{2} \times 46^\circ = 23^\circ
\]
Therefore, the measure of angle \( BAC \) is:
**The m/BAC is 23 degrees.**