180 - 60 = 120 degrees
x + 2x = 120
3x = 120
x = 40
The angles are
40, 80, and 60
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
2 answers
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 °
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 °