Find the value of X in the parallelogram

75

Step-by-step explanation:

Adjacent angles add to 180

x + 2x-45 = 180

Combine like terms

3x - 45 = 180

Add 45 to each side

3x = 180+45

3x =225

Divide by 3

3x/3 = 225/3

x =75

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for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for