9.
On producing a side of a triangle, the exterior angle so formed is 128
the interior opposite angles are in the ratio 1:3, then find the measur
the difference of greatest angle and the least angle of the triangle.
(A) 35°
(B) 58°
(C) 23
(D) 28°
(E) None of these
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Answer:
(E) None of these
Step-by-step explanation:
We know that the exterior angle is equal to the sum of the two interior angles.
=> 1x + 3x = 128°
=> x = 32°
then 3x = 96°
which means the angle supplement to the exterior angle is 52°
the difference of the greatest and smallest angles is
=> 96°- 32 = 64°
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