Recall that the sum of the angles of a triangle is 180 degrees.
To solve this problem, let's represent the measurement of the first angle with the variable: x
The second angle would be represented as : x + 100
The third angle would be represented as: 3x
Then we can write the following equation (knowing that the sum of the angles is 180):
x + x + 10 + 3x = 180
Now combine like terms and use inverse operations to solve for x:
x + x + 10 + 3x = 180
5x + 10 = 180
5x + 10 - 10 = 180 - 10
5x = 170
5x/5 = 170/5
x = 34 degrees
The first angle will be 34 degrees.
The second angle will be x + 10 or 34 + 10 = 44 degrees
The third angle will be 3x or 3 * 34 = 102 degrees
The sum of the angles is 180 = 34 + 44 + 102
