In a triangle, the sum of the three interior angles is always 180 degrees.
So, we can set up the equation:
(x - 30) + (2x + 6) + (2x + 4) = 180
Combine like terms:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide by 5:
x = 40
Now, we can find the measures of the angles:
(40 - 30) = 10 degrees
(2(40) + 6) = 86 degrees
(2(40) + 4) = 84 degrees
Therefore, the largest angle is 86 degrees.
Use the triangle angle sum theorem to find the largest angle in a triangle with the angle measures of (x - 30) , (2x + 6), and (2x + 4)
84
10
86
180
1 answer
1 answer