Question

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​

Answer 1

Answer:

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