Question

Two consecutive angles in a parallelogram have measures of 3x-2 and 4x+7. What is the value of x?
please answer this question step by step...
the first correct answer would be marked as brainlist

Answer 1

Answer:

Sooo jaa.bhot Raat ho gayi..✌️✌️

Step-by-step 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 :)

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Answer 2

Answer:

x = 25

Step-by-step explanation:

two consecutive angles in a parallelogram are supplementory that is sum is 180

3x-2+4x+7 = 180

7x + 5 = 180

7x = 175

x = 25