Question

an exterior angle of a triangle is 80 degree and the interior opposite angles in the ratio 1:3 find the measurement of each interior opposite angle​

Answer 1

Answer:

20° and 60°

Step-by-step explanation:

1. To understand the question first make a ∆ABC whose exterior angle from angleC.
2. we know that, exterior angle of any triangle is equal to the sum of opposite interior angles.
3. now let the multiple of the ratios be 'x'.
4. therefore,1x + 3x=80°
5. 4x=80°

x=80\4

x=20°

3x=20*3

3x=60°

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

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Answer 2

Answer:

Ans 20degree and 60degree

Step-by-step explanation:

Let the common ratio be x

so 1x and 3x

Now,

1x+3x=80

4x=80

x=80/4

x=20

such, 1x = 1*20 = 20 degree

3x =3*20 =60degree