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Step-by-step explanation:
Let angle a=x
angle b=y
angle c=z
Angle c-angle a = 40°
z-x=40°
x=z-40°
Angle c-angle b = 20°
z-y=20°
y=z-20°
We know that,
Sum of all angles in a triangle is 180°
x+y+z=180°
(z-40°)+(z-20°)+z=180°
3z-60°=180°
3z=180+60
3z=240°
z=240/3=80°
→Angle a =x=z-40=80°-40°=40°
→Angle b=y=z-20°=80°-20°=60°
→Angle c=z=80°
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