Answer:the first angle is 72.5 degrees.
The second angle is 41.25 degrees.
The third angle is 66.25 degrees
Step-by-step explanation:
Let x represent the size of the first angle.
Let y represent the size of the second angle.
Let y represent the size of the second angle.
one angle measures 10 degress less than twice the second triangle. This means that
x = 2y - 10
the third angle measures 25 degrees more than the second angle. This means that
z = y + 25
The sum of the angles in a triangle is 180 degrees. This means that
x + y + z = 180 - - - - - - - - - - 1
Substituting x = 2y - 10 and z = y + 25 into 1, it becomes
2y - 10 + y + y + 25 = 180
4y + 15 = 180
4y = 180 - 15 = 165
y = 165/4 = 41.25 degrees
x = 2y - 10 = 41.25 × 2 - 10 = 72.5 degrees
z = x + 25 = 41.25 + 25 = 66.25 degrees
