Question

How do I solve this?

Answer 1

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=$5\times15°$

            ∠I=75°

      ∠M=3X=$3\times15°$

     ∠M=45°

∠S=7X=∠$7\times15°$

∠s=105°

∠E=128.5+3X=128.5+45=173.5°

∠E=173.5°

Answer 2

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