Answer:
m∠W = 55°
m∠Y = 45°
m∠Z = 80°
Step-by-step explanation:
In order to solve this problem we need to know that the sum of all angel of the triangle is 180°. Knowing this we can make an equation.
m∠W + m∠Y + m∠Z = 180°
Now we can substitute the angle values and find out what x is equal to. So we do...
(x - 15)° + (3x -165)° + 80° = 180°
x° - 15° + 3x° - 165° + 80° = 180°
4x° - 100° = 180°
4x° = 180° + 100°
4x° = 280°
x° = 70°
x = 70
Now we substitute the x and get the measurements of the angels.
m∠W = x° - 15° = 70° - 15° = 55°
m∠Y = 3x° - 165° = 210° - 165° = 45°
m∠Z = 80°
