Anika constructed ray AC that bisected LA. If the m LBAD is 46 degrees, what is the m/BAC?

Question

(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.

Answer 1

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.