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 .

more detail

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.