The measures of the angles in △abc are given by the expressions in the table. angle measure
a 65°
b (3x−10)°
c (2x)°
find the value of x. then find the measures of angles b and c. enter your answers in the boxes.
x =
m∠b= º
m∠c= º

Angles in a triangle add up to 180 degrees

65 + 3x - 10 + 2x = 180
5x + 55 = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25 <===

m < B = 3x - 10
m < B = 3(25) - 10
m < B = 75 - 10
m < B = 65 <

m < C = 2x
m < C = 2(25)
m < C = 50 <

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm