I really hate angles but this is the last one

Question

The measure of one angle is eleven more than four times a number. Another angle is twice the first angle measure. The sum of both is 195. What is the measure of each?

Answer 1

A = 11 +4B

A+B = 195

11+4B + B = 195

5B = 184

B = 184/5 = 36.8 degrees

A = 11+4B = 11+147.2 = 158.2 degrees

But if you use the other information B=2A

then A+B = 195

A +2A = 195

3A = 65 degrees

B = 130 degrees

Or take the equations: A=11+4B and B=2A to get

A = 11+4(2A) =11 + 8A

7A =-11

A =-11/7 degrees

B =-22/7 degrees

It's like having 3 straight lines which have no common point, just 3 different intersections.

There is no solution. It's a null set. the equations are contradictory.

you have 3 equations, 2 unknowns, which has no solution, as the equations are contradictory.

It's like having 3 lines which