Please help Find: ∠x ∠a ∠b

x = 22

<a = 88°

<b = 92°

Step-by-step explanation:

To solve for x, <a, and <b, we'd need to recall some of the properties of parallel lines, then apply them in solving this problem.

To find the value of x, recall that consecutive interior angles are supplementary. (5x - 18), and (3x + 22) are consecutive interior angles. Therefore:

Solve for x

Subtract 4 from both sides:

Divide both sides by 8

=>Find <a:

According to the properties of parallel lines, alternate interior angles are equal. Therefore:

<a = 3x + 22

Plug in the value of x

<a = 3(22) + 22 = 66 + 22

<a = 88°

=>Find <b:

According to the properties of parallel lines, corresponding angles are said to be equal. Therefore,

<b = 5x - 18

Plug in the value of x to find <b

<b = 5(22) - 18

<b = 110 - 18 = 92°

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step-by-step explanation:

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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