Question

an exterior angle of a triangle is 80 degree and the interior opposite angles are in the ratio 1:3 then the measure of interior opposite angles are​

Answer 1

Answer:

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Step-by-step explanation:

An exterior angle of a triangle is 80° and the interior opposite angles are in the ratio 1 : 3. Measure of each interior opposite angle is: 30°, 90°

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Answer 2

To understand the question first make a ∆ABC whose exterior angle from angleC.

we know that, exterior angle of any triangle is equal to the sum of opposite interior angles.

now let the multiple of the ratios be 'x'.

therefore,1x + 3x=80°

4x=80°

x=80\4

x=20°

3x=20*3

3x=60°

Hence ,the two interior angles are 20° and 60°.