anika constructed ray ac that bisected a if the m BAD is 46 degrees what is the m BAC

Answer 1

If ray AC bisects angle A (∠BAC), it means that angle A is divided into two equal parts by ray AC.

Given that the measure of angle BAD (∠BAD) is 46 degrees, we can use the following relationship to find the measure of angle BAC (∠BAC):

\[ \text{m BAC} = \text{m BAD} + \text{m DAC} \]

Since ray AC bisects angle A, we have:

\[ \text{m DAC} = \text{m BAD} = 46^\circ \]

Therefore,

\[ \text{m BAC} = \text{m BAD} + \text{m DAC} = 46^\circ + 46^\circ = 92^\circ \]

So the measure of angle BAC (∠BAC) is 92 degrees.