Respuesta :
Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
Answer:
B. 39°
Step-by-step explanation:
x + 24 + 2x + x = 180 is the equation I'll use.
x + 24 + 2x + x = 180 {Step 1: Combine 2x, x, x to get 4x.}
4x + 24 = 180 {Step 2: Subtract 24 from both sides (180 - 24 = 156)}
4x = 180 - 24
4x = 156 {Step 3: Divide both sides by 4 (156 / 4 = 39)}
x = 156/4
x = 39
The smallest angle is 39°. (The other two angles are 63° and 78°, respectively.)