in triangle ABC, the measure of agle B is 5 degrees more than three times the measure of angle A. The measure of angle C is 15 degrees more than the measure of angle A. What is the measure of angle C?
first make it all in terms of A. Which would be 3a + a + a + 5 + 15 = 180 degrees becasue a triangle is 180 degrees. That equation simplifies down to 5a + 20 = 180 then subtract the 20 over to get 5a = 160 then divide the 5 over and get a = 32.
Then using A figure out A,B, and C.
A: A = 32
B Using A = 32 plug that into the equation 3(32) + 5 which will then go down to 96 + 5 which equals 101
C A + 15-----A = 32------32 + 15 = 47
A + B + C has to equal 180 degrees becuase the shape that you are trying to find the angle of is a triangle which angles add upp to 180 degrees. So then plug in what you got for A, B, and C.
32 + 47 + 101
79 + 101
180
