Question

an exterior angle of a triangle is 120 degree and its interior opposite angles are in the ratio 1:2. find the measure of each of the interior opposite angles. ​

Answer 1

Answer:

exterior angle=some of its opposite interior angles

so, let the common ratio be x,

120=1x+2x

120=3x

x=120/3

x=40°

1st angle=1x=1*40

=40°

2nd angle=2x=2*40

=80°

Answer 2

Answer:

40° and 80°.

Step-by-step explanation:

Let each of the interior opposite angle be x° and 2x°, respectively.

So, we have,

x° + 2x° = 120°. {Exterior Angle property.}

→3x° = 120°

→x° = 120°/3

→x° = 40°

So, First Interior opposite angle: x° = 40°.

Second Interior opposite angle: 2x° → 2(40°) → 80°.

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