Respuesta :

Answer:

The smallest angle equals 39 degrees.

Step-by-step explanation:

In a triangle the 3 interior angles always add to 180 degrees.

Angle 1 (smallest) = c

Angle 2 = c + 24

Angle 3 = 2*c

c + (c+24) + 2c = 180

4c + 24 = 180

4c + 24 - 24 = 180 - 24

4c = 156

4c/4 = 156/4

c = 39

Check:

Angle 1 (smallest) = 39

Angle 2 = 39 + 24 = 63

Angle 3 = 39 * 2 = 78

39 + 63 + 78 = 180

altavistard

Answer:

B:  39

Step-by-step explanation:

Let the three angles be x, y and z in ascending size.  x is the smallest; z is the largest.  Assuming that the next angle is y = x + 24, z = 2x.  These three angles must sum up to 180:  x + (x + 24) + 2x = 180, or

4x + 24 = 180, or 4x = 156.  Thus, x = 39, y = 39 + 24 = 63, and z = 2(39) = 78.  Check:  do 39 and 63 and 78 add up to 180?  Yes

The correct answer choice is B:  39

Otras preguntas