the measures of the angles of a triangle are represented by 2x+30, 5x+10 and 7x the triangle is
3-sided?
acute, scalene
2x+30 + 5x+10 + 7x = 180
14x = 140
x=10
the angles are 50° , 60° and 70°
So, what do you think?
To find the measures of the angles of a triangle, we need to look at the given expressions:
1st angle: 2x + 30
2nd angle: 5x + 10
3rd angle: 7x
It is known that the sum of the angles in a triangle is always 180 degrees. So, let's set up an equation:
(2x + 30) + (5x + 10) + (7x) = 180
Now, we can solve this equation to find the value of x:
2x + 30 + 5x + 10 + 7x = 180
14x + 40 = 180
14x = 180 - 40
14x = 140
x = 140 / 14
x = 10
Now that we know the value of x, we can substitute it back into the original expressions to find the measures of the angles:
1st angle = 2x + 30 = 2(10) + 30 = 20 + 30 = 50 degrees
2nd angle = 5x + 10 = 5(10) + 10 = 50 + 10 = 60 degrees
3rd angle = 7x = 7(10) = 70 degrees
Therefore, the measures of the angles in the triangle are 50 degrees, 60 degrees, and 70 degrees.