An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40°. The measures of the other interior angles are in the ratio 3 ∶ 5. What are the measures of the largest interior angle? You must show your work to receive full credit.

The measure of the largest interior angle is .

Step-by-step explanation:

Given one of the interior angles of the triangle =  40°. Let the other interior angles be represented by b and c.

Sum of angles in a triangle is .

So that;

b + c +  40° =

b + c = - 40°

b + c =

But, b and c are in the ratio 3:5

Thus,

b = x

  =

b =

c = x

  =

c =

Check:

+ =

The measure of the largest interior angle is .

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