Question

One of the exterior angles of a triangle is 153⁰ and the interior opposite angles are in the ratio 5:4. The three interior angles of the triangle are​

Answer 1

EXPLANATION:-

We know that the exterior angles of the triangle are equal to 2 of it's opposite interior sides

Now let's come to the question:-

Exterior angles =153°

opposite interior angle are in ratio=5:4

So the opposite angles be =5x and 3x

So

Sum of 5x and 4x will be 153°

So A.T.Q,

5x+4x=153°

9x=153

x=153/9

x=19

So the angles are 5x=5×19

==>95°

And other angle=4x=4×19

==>76°