Two consecutive angles of a parallelogram have measures latex: 3x-2 3 x − 2 and latex: 4x+7. 4 x + 7. find the value of x.

x = 25

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°

Hope this helps :)