Final answer:
To find the other three measures, subtract the given angle from 180 to get the sum of the other two angles. Since the triangle is equilateral, all three angles have the same measure. Solve the equation to find the measure of each of the other three angles.
Step-by-step explanation:
To find the other three measures, we need to consider that the sum of all angles in a triangle is 180 degrees. Since the measure of angle 3 (m<3) is given as 159 degrees, we can subtract it from 180 to find the sum of the other two angles. 180 - 159 = 21 degrees. This means that the sum of the other two angles is 21 degrees.
Since triangle ABC is an equilateral triangle, all three angles have the same measure. Let's call this measure x. So, we have:
x + x + 21 = 180
2x + 21 = 180
2x = 180 - 21
2x = 159
x = 79.5
Therefore, the measure of each of the other three angles in the triangle is 79.5 degrees.