Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
