Question

In a triangle the biggest angle is double the size of the second biggest angle. The second biggest angle is double the size of the smallest angle. What is the sizes of the angles?

Answer 1

The problem says A˃B˃C and also says: A=2B,  B=2C
We know that the sum of internal angles in a triangle is 180, so this means A+B+C=180
Replace B into A and you get A=2(2C)=4C
Replace now A anb B into A+B+C=180
4C+2C+C=180  solve for angle C:
7C=180
C=180/7= 25.71
Replace the value os C into A anb B
A=4C=4*25.71=102.86
B=2C=2*25.71=51.43
So the answer is A= 102.86, B= 51.43 and C=25.71