The triangle angle sum theorem states that the sum of the interior angles of a triangle is always 180 degrees.
In this case, the three angles given are (x - 20)°, (3x + 3)°, and (2x - 7)°.
The sum of the interior angles is given by:
(x - 20)° + (3x + 3)° + (2x - 7)° = 180°
Now we can solve for x:
x - 20 + 3x + 3 + 2x - 7 = 180
6x - 24 = 180
6x = 204
x = 204/6
x = 34
Now that we have found the value of x, we can substitute it back into the angle measures to find the largest angle:
2x - 7 = 2(34) - 7 = 68 - 7 = 61
Therefore, the largest angle in the triangle is 61 degrees.
Use the Triangle Angle Sum Theorem to find the
largest angle in a triangle with angle measures of
(x − 20) °, (3x + 3) °, and (2x − 7) °. (1 point)
1 answer