Use the image to answer the following 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 is 92 degrees. The m angle upper B upper A upper C is 92 degrees. The m∠BAC is 46 degrees. The m angle upper B upper A upper C is 46 degrees. The m∠BAC is 23 degrees. The m angle upper B upper A upper C is 23 degrees. The m∠BAC=m∠DAC.

Answer 1

Since ray AC bisects ∠A, we know that ∠BAD and ∠DAC are congruent angles. Given that m∠BAD is 46 degrees, we can conclude that m∠DAC is also 46 degrees.

To find m∠BAC, we add m∠BAD and m∠DAC:

m∠BAC = m∠BAD + m∠DAC = 46 degrees + 46 degrees = 92 degrees.

So, the correct response is:

The m∠BAC is 92 degrees.

Answer 2

Use the image to answer the following 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 is 92 degrees. The m angle upper B upper A upper C is 92 degrees. The m∠BAC is 46 degrees. The m angle upper B upper A upper C is 46 degrees. The m∠BAC is 23 degrees. The m angle upper B upper A upper C is 23 degrees. The m∠BAC=m∠DAC.

Answer 3

Since ray AC bisects ∠A, this means that:

• \( m∠BAD \) (which is given as 46 degrees) and \( m∠DAC \) are equal.

Thus, we have:

• \( m∠BAC = m∠BAD + m∠DAC = 46 degrees + 46 degrees = 92 degrees \).

Therefore, the correct answer is:

The m∠BAC is 92 degrees.

Answer 4

Use the image to answer the question. Laci constructed ∠PQR with line segments QC¯¯¯¯¯¯¯¯ , AC¯¯¯¯¯¯¯¯ , and BC¯¯¯¯¯¯¯¯ , as shown in the image. Which line segment is the angle bisector of ∠PQR ? (1 point) Responses Line segment QC¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR. Line segment Modifying above upper Q upper C with bar is the angle bisector of angle upper P upper Q upper R . Line segment QP¯¯¯¯¯¯¯¯ s the angle bisector of ∠PQR. Line segment Modifying above upper Q upper P with bar s the angle bisector of angle upper P upper Q upper R . Line segment BR¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR. Line segment Modifying above upper B upper R with bar is the angle bisector of angle upper P upper Q upper R . Line segment AC¯¯¯¯¯¯¯¯ is the angle bisector of ∠PQR.

Answer 5

To determine which line segment is the angle bisector of ∠PQR, we need to identify the segment that divides the angle into two equal parts.

In typical angle bisector scenarios, the angle bisector would originate from the vertex of the angle (in this case, point Q) and extend towards the opposite side, which is typically the line containing the second vertex (in this case, potentially either point P or R).

Without the image, I can make some general assumptions based on the typical naming conventions for lines:

1. Line segment QC could potentially be the angle bisector if point C lies along the line extending from Q that equally divides the angle into two parts.
2. Line segment QP is usually one of the sides of the angle itself and not typically the bisector.
3. Line segment BR is not mentioned in the context of the angle at PQR.
4. Line segment AC is also not directly related to the angle at PQR in the standard naming unless context suggests otherwise.

Based on common geometry practices, if the line segment from point Q bisects ∠PQR and is indicated as extending toward point C, it is likely that:

Line segment QC is the angle bisector of ∠PQR.

This response is based on typical problems of this nature, but the confirmation from the image would solidify the answer. If you are looking at the image and that line segment indeed represents the bisector as described, then that would be the answer.