two interior angles of a ∆abc are <a = 75° and <b= 35° calculate <c and exterior angles of<a,<b,<c
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let the exterior angle of a be x
let the exterior angle of b be y
let the exterior angle of c be z
by angle sum property
a+b+c=180°
75° + 35° + c = 180°
110° +c=180°
c = 180°- 110°
c = 70°
exterior angle of c
z+ 70°=180°(linear pair )
z =180°-70°
z =110°
exterior angle of b
y+35°=180°(linear pair)
y= 180°-35°
y =145°
exterior angle of a
x+75°=180°(linear pair)
x= 180°-75°
x=105°
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