The exterior angle ABC of triangle ABC is is 110 degree and angle A and Angle B are in the ratio 7:4find all angle of triangle ABC
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Step-by-step explanation:
Let the opposite angles of the exterior angle 110 be 7x and 4x [since the ratio is 7:4]
Now the rule is
Exterior angle = Sum of opposite interior angles
==> 110 = 7x+4x
==> 110 = 11x
==> 110/11 = x
==> x = 10
Therefore the angles are
7x = 7(10)=70
4x = 4(10)=40
The remaining angle can be found out as
70 + 40 + y = 180 [ angle sum property of triangle]
110 + y = 180
y = 180-110 = 70
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