Question #7e94a

1 Answer
Nov 16, 2017

The answer is 19.3 degrees? (question not clear)

Explanation:

Since all other angles are in terms of angle A, it can be a variable, let it be #a#.

Angle A is #a#, of course
Angle B is #4a#; it is 4 times angle A
Angle C is #5a-13#; 13 less 5 times angle A

Triangle Sum \Theorem on degrees: #A+B+C = 180#

Here it is
#a+4a+5a-13=180#

Algebra
#10a=193#
#a=19.3#

So, #a# representing Angle A is 16.7 degrees.
To find the others, just plug them in to their corresponding expression in the original problem.

#B=4a# ...so ... #B=77.2#
#C=5a-13# ...so... #C=83.5#