Explanation: In a parallelogram, the sum of any two consecutive angles is 180°.
We are given that two consecutive angles have measures 3x - 2 and 4x + 7. Based on the above, the summation of these two angles is 180. Therefore, we will simply add the two angles, equate the sum to 180 and solve for x as follows: 3x - 2 + 4x + 7 = 180 7x + 5 = 180 7x = 180 - 5 7x = 175 x = 175/7 x = 25
This means that the two angles are: 3x - 2 = 3(25) - 2 = 73° 4x + 7 = 4(25) + 7 = 107°
