Question

one of the angle of triangl is 60 degree.the smaller angle of the other two angle is half of the greater.find all angles

Answer 1

180 - 60 = 120 degrees

x + 2x = 120

3x = 120

x = 40

The angles are
40, 80, and 60

Answer 2

g = the greater angle

s = the smaller angle = g / 2

The sum of the angles in a triangle is 180 °

60 ° + g + s = 180 °

60 ° + g / 2 + g = 180 °

60 ° + g / 2 + 2 g / 2 = 180 °

60 ° + 3 g / 2 = 180 ° Subtract 60 ° to both sides

3 g / 2 = 180 ° - 60 °

3 g / 2 = 120 ° Multiply both sides by 2

3 g = 2 * 120 °

3 g = 240 ° Divide both sides by 3

g = 240 ° / 3 = 80 °

s = g / 2 = 80 ° / 2 = 40 °


Angles:

the greater angle = 80 °

the smaller angle = 40 °

and given angle 60 °