After learning Chapter 2 "special triangles", the teacher assigned a question: as shown in the figure, points m and N are on the sides of BC and Ca of the regular triangle ABC, and BM = CN, am and BN intersect at point Q. (3) if the points m and N in the question are moved to the extension line of BC and Ca, and BM = CN, can we get ∠ BQM = 60 °? Please give reasons (1) Judge whether △ ABM and △ BCN are congruent and explain the reason. (2) judge whether ∠ BQM is equal to 60 ° and explain the reason

After learning Chapter 2 "special triangles", the teacher assigned a question: as shown in the figure, points m and N are on the sides of BC and Ca of the regular triangle ABC, and BM = CN, am and BN intersect at point Q. (3) if the points m and N in the question are moved to the extension line of BC and Ca, and BM = CN, can we get ∠ BQM = 60 °? Please give reasons (1) Judge whether △ ABM and △ BCN are congruent and explain the reason. (2) judge whether ∠ BQM is equal to 60 ° and explain the reason

(1) The reasons are as follows: the reasons are as follows: the reasons are as follows: the reasons are as follows: the reasons are as follows: the reasons are as follows: the reasons are as follows: the reasons are as follows: the following reasons are as follows: the following reasons are as follows: the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved as the same (1) can be proved QaN, ∠ ACB = ∠ M+ ∠CAM，∴∠BQM=∠ACB=60°．