Answer:
13 degrees, 115 degrees, and 52 degrees
Step-by-step explanation:
The addition of the three internal angles in a triangle should give 180 degrees.
So let's name the angles A, B, C, with:
A being the smallest angle
B being the one that equals the smallest one plus 102 degrees. That is: B = A+102
C being the one that is 4 times the smallest one. That is: C = 4 * A
Now add the three to obtain 180, but writing all of them in terms of the smallest angle A:
A + A + 102 +4 A = 180
2A + 4A + 102 = 180
6 A + 102 = 180
6 A = 180 -102 = 78
A = 78/6 = 13 degrees
Therefore, angle B must be: A + 102 = 13 +102 = 115 degrees
C = 4 * A = 4 * 13 = 52 degrees
