Question

The diagram shows a parallelogra,. 3x-15, 2x, 2x, 2x+24, work out x

Answer 1

x = 39

Explanation:

In a parallelogram the opposite angles are congruent, thus

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39

Answer 2

x = 39

Explanation:

In a parallelogram, oppsite angles are the same (congruent).

Therefore:

3x- 15 is equal to 2x + 24

Which can be written as:

3x - 15 = 2x + 24

Now we can solve for x

3x - 15 = 2x + 24

3x - 2x - 15 = 24

x - 15 = 24

x = 24 + 15

So, x = 39

(OPTIONAL):

(You can find the vlaue of the angles by plugging in x = 39 into the equations for example, 3x - 15 becomes 3(39) - 15 ----> 117 - 15 ----> 102° . )

Hope this helped! :)