SOLUTION: HI IN TRIANGLE ABC,THE MEASURE OF ANGLE A IS 4 TIMES THE MEASURE OF ANGLE C,AND MEASURE OF ANGLE B IS 45 DEGREES MORE THAN THE MEASURE OF ANGLE C, WHAT IS THE MEASURES OF ANGLES A

Algebra ->  Triangles -> SOLUTION: HI IN TRIANGLE ABC,THE MEASURE OF ANGLE A IS 4 TIMES THE MEASURE OF ANGLE C,AND MEASURE OF ANGLE B IS 45 DEGREES MORE THAN THE MEASURE OF ANGLE C, WHAT IS THE MEASURES OF ANGLES A      Log On


   



Question 311973: HI
IN TRIANGLE ABC,THE MEASURE OF ANGLE A IS 4 TIMES THE MEASURE OF ANGLE C,AND MEASURE OF ANGLE B IS 45 DEGREES MORE THAN THE MEASURE OF ANGLE C, WHAT IS THE MEASURES OF ANGLES AB AND C

Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
let angle C be x deg.
Angle A =4x deg
Angle B = x+45 deg
.
The sum of all angles = 180 deg.
x+4x+x+45=180
6x+45=180
6x=135
x=22.5 deg = angle C
Angle A = 4x = 90deg
Angle B= 22.5 + 45 = 67.5 deg