Question 230559
X+Y+Z=180
Z=2Y-55
X=Y-25
REPLACE X IN THE FIRST EQUATION BY (Y-25) & REPLACE Z BY(2Y-55) & SOLVE FOR Y
Y-25+Y+2Y-55=180
4Y=180+55+25
4Y=260
Y=260/4
Y=65 DEGREES FOR THE MEDIUM ANGLE.
X=65-25=40 DEGREES FOR THE SMALLEST ANGLE.
Z=2*65-55
Z=130-55
Z=75 DEGREES FOR THE LARGEST ANGLE.
PROOF:
40+65+75=180
180=180