Question

One of the exterior angles of a triangle is 125 and the interior opposite angles are in the ratio2:3.Find the angles of the triangle.

Answer 1

by exterior angle property,
the exterior angle of one angle= sum of other 2 opp. anglea

therefore,
125=2x + 3x (as their ration is 2:3)
125=5x
x=25

thus angle 1=2x=50
angle 2= 3x= 75

there you go
hope this helps

Answer 2

Exterior angle = sum of interior opposite angles.

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The interior angle ratio = 2 : 3

2 + 3 = 5

5 parts = 125

1 part = 125 ÷ 5 = 25

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Find the 2 angles:

2 parts = 25 x 2 = 50°

3 parts = 25 x 3 = 75°

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Answer: The two angles are 50° and 75°