GEOMETRY HELP WILL MARK BRAINLIEST

x = 5 and z = 108

Step-by-step explanation:

We have two intersection lines and since z and 108 lie opposite each other, they are called vertical angles. By definition, vertical angles are congruent to each other, so that means z = 108.

Now, notice that z and 6x + 42 lie on the same line. A line has a measure of 180 degrees, which means that these two will add up to 180 (they are supplementary angles). Then we can write:

z + (6x + 42) = 180

We already know that z = 108, so plug that in and solve for x:

108 + (6x + 42) = 180

6x + 150 = 180

6x = 30

x = 5

Thus, x = 5 and z = 108.

z=108

x=5

Step-by-step explanation:

First, let's find z.

z is opposite from an angle that measures 108 degrees. Since they are opposite, they are vertical angles. This means that they are congruent or equal.

z=108

Next, let's find x.

108 and 6x+42 are on a straight line, which means they are supplementary, and add to 180 degrees.

6x+42+108=180

Combine like terms by adding 42 and 108

6x+150=180

Now, we have to solve for x, by getting x by itself.

First, subtract 150 from both sides, because 150 is being added to 6x.

6x+150-150=180-150

6x=180-150

6x=30

Next, divide both sides by 6, because 6 and x are being multiplied.

6x/6=30/6

x=30/6

x=5

So, z=108 and x=5

i used to know how to do this in 7th but i forget easily

step-by-step explanation:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: