Triangle ABC has angle measures as shown below. Using the information in the diagram, and the value of x that you calculated in Question 2, find the measure of Angle C. In your answer, give the measure of Angle C and explain how you calculated it.

x=29

Step-by-step explanation:

180-87=93

93=3x+6

-6        -6

93=3x

/3    /3

29=x

x=29

*all angles in a triangle add up to 180. So, 35+52=93. 180-93=87.

C=87

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.