Question

In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?

Answer 1

Hi, we can use variables here!

Answer 2

OK. Let's say that the measure of the first angle is \(x\). What is the measure of the second angle in terms of \(x\)?

Answer 3

ok in the problem it says ur first angle is 24+x

Answer 4

ur second angle is 4x

Answer 5

ur third angle is x

Answer 6

if the first angle is 24 + x, then the second angle should be considered x.

Answer 7

the total of all the angles is 180

Answer 8

x, x - 24 and 4(x-24) are the angles where x is the first angle.

Answer 9

therefor (24+x)+(4x)+(x)=180

Answer 10

subtract the 24
so x+4x+x=156

Answer 11

factor out the x

Answer 12

x(1+4+1)=156

Answer 13

x(6)=156

then divide the 6

Answer 14

x=26

Answer 15

plug in x into the three orginal formuals and u shoud get 26, 50, 104 which will give u 180

Answer 16

sorry for all the steps lol gl