5x + 3x + 7x = 180
15x = 180
x = 12
I = 5(12) = 60
M = 3(12) = 36
S = 7(12) = 84
Check: 60 + 36 + 84 = 180
Answer:
∠I=75° , ∠M=45° ,∠S=105°, ∠E=173.5°
Step-by-step explanation:
given ∠I=5X,∠M=3X,∠S=7X, ∠E=128.5+3X
IN TRIANGLE IMS
∠I+∠M+∠S=180°
5X+3X+7X=180°
12X=180°
X=15°
HENCE ∠I=5X=[tex]5\times15°[/tex]
∠I=75°
∠M=3X=[tex]3\times15°[/tex]
∠M=45°
∠S=7X=∠[tex]7\times15°[/tex]
∠s=105°
∠E=128.5+3X=128.5+45=173.5°
∠E=173.5°
