Answer:
Angle 1: 87 degrees (Top left)
Angle 2: 68 degrees (Bottom left)
Angle 3: 25 degrees (Right)
Explanation:
To find the measurements of the angles in a triangle, we can use the fact that the sum of the angles in any triangle is always 180 degrees.
Let's solve the equation:
(7x - 11) + (5x - 2) + (2x - 3) = 180
Simplifying the equation, we have:
7x - 11 + 5x - 2 + 2x - 3 = 180
Combining like terms, we get:
14x - 16 = 180
Adding 16 to both sides:
14x = 196
Dividing both sides by 14:
x = 14
Now that we have the value of x, we can substitute it back into the expressions for the angles to find their measurements:
Angle 1: 7x - 11 = 7(14) - 11 = 98 - 11 = 87 degrees
Angle 2: 5x - 2 = 5(14) - 2 = 70 - 2 = 68 degrees
Angle 3: 2x - 3 = 2(14) - 3 = 28 - 3 = 25 degrees
Therefore, the measurements of the angles in the triangle are:
Angle 1: 87 degrees
Angle 2: 68 degrees
Angle 3: 25 degrees