An exterior angle of a triangle is 80º and the interior opposite angles are in the ratio 1 : 3. Measure of…

An exterior angle of a triangle is 80º and the interior opposite angles are in the ratio 1 : 3. Measure of each inte4rior opposite angle is:

  1. 20º, 60º

  2. 30º, 90º

  3. 40º, 120º

  4. 30º, 60º

Solution

Solution:

let the common ratio is x

the ratio of interior angles are 1 : 3

so angles are x and 3x

x + 3x = 80

\(\text{x}=\frac{80}{4}\)

x = 20

So angles are 20º and 60º

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