Question

Given the figure below find the values of x and z.

Answer 1

Hello!!! Princess Sakura here ^^

Explanation:

So first I would do...
`9x+39+12x-48=180` first because it'll give me the x value, so....

`9x+39+12x-48=180\\21x-9=180\\21x=189\\x=9`

So now we know that the x equals 9 so we plug it in for (9x+39) because it's vertical to the other angle across from it and vertical angles are always congruent, so...

`z=9(9)+39\\z=81+39\\z=120`

so now we know that x=9 and z=120.