Answer:
32°, 96° and 52°
Step-by-step explanation:
The sum of the angles of a triangle will always measure 180°. In the case of this triangle, we can form three expressions using the same variable and add them together to equal 180.
first angle = x
second angle = 3x (three times the first)
third angle = 2x - 12 (12 degrees less than twice the first)
Combine and set them equal to 180:
x + 3x + 2x - 12 = 180 or 6x - 12 = 180
Add 12 to both sides: 6x - 12 + 12 = 180 + 12 or 6x = 192
Divide by 6 and solve for 'x': 6x/6 = 192/6 or x = 32
first angle = 32°
second angle = 3x = 96°
third angle = 2x - 12 = 52°
