Two angles of a triangle measure 64 and 48. which of the following is the measure of the largest exterior angle of the triangle

Given -  The two angle of a triangle are 64° and 48°.

Find out the angles which measure the largest exterior angle.

To proof -

first find the third angle of the triangle.

as we know the total sum of a triangle is 180°

let assume that theunknow angle be x.

x + 64°+ 48° = 180°

x = 180° - 112°

x = 68°

by exterior angle property

As exterior angle of a triangle is the sum of the opposite interior angle.

thus  the angles are 68° and 64° which gives the largest exterior angle of the triangle.

largest exterior angle = 68° + 64°

                                    = 132°

Hence proved

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

8 2/3 is the answer

step-by-step explanation: just use a calculator