 Hello and welcome to the session. My name is Mansi and I'm going to help you with the following question. The question says, show that the angles of an equilateral triangle are 60 degree each. Let us start with the solution to this question. We see that angle B is equal to angle C because A B is equal to AC. Again, angle C is equal to angle A because BC is equal to BA. Since these are the sides of an equilateral triangle, so from above two equations, equation one and equation two, we get angle A is equal to angle B is equal to angle C. We know that angle A plus angle B plus angle C is equal to 180 degree because sum of measure of all the angles of a triangle is 180 degree. We can say angle A plus angle A plus angle A is equal to 180 degree because angle A is equal to angle B is equal to angle C. We can say three times angle A is equal to 180 degree. Therefore, angle A is equal to 180 degree by three that is equal to 60 degree. Therefore, angle B is equal to 60 degree and angle C also is equal to 60 degree. Hence, the angles of an equilateral triangle are 60 degree each. So, I hope you understood the question and enjoyed the session. Have a good day.