Help find the angle of s and what is x?

Hey there! I'm happy to help!

We want to figure out what x is. To do this, we want to find all of the interior angles of this triangle.

We see that we have an angle measure of 66 degrees. It is right next to the missing angle of the triangle. Since they are both on a straight line, the sum of these angles is 180. Let's call this mystery angle a and see what it is.

6x+a=180

Subtract 6x from both sides.

a=180-6x

Now we have all of our triangle angles.

All of the interior angles of a triangle equal 180 degrees. We can now make this equation and solve for x.

180-6x+77+2x+3=180

We combine like terms.

260-4x=180

We subtract 260 from both sides.

-4x=-80

We divide both sides by 4

x=20

Now we look at angle s and plug in our x value to find its measure.

2(20)+3

40+3

43

The measure of angle s is 43 degrees.

Have a wonderful day! :D

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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