Help solve this question please

X=137º, Y=43º, and Z=137º.

Step-by-step explanation:

We know y is 43º because of the vertical angle theorem. That means 180-43=137. z and x are 137º because both lines are linear pairs so that means you take 180-43 and you get 137º. So, X=137º, Y=43º, and Z=137º.

y= 43 degrees

z= 137 degrees

x= 137 degrees

Step-by-step explanation:

We can find the measures using our knowledge of angles.

We know that y is a verticle angle to the 43 degree angle. This means that y is equal to 43 degrees also.

We know that z is a supplementary angle to angle y, and we know that angle y= 43 degrees. Remember, supplementary angles are angles that when added together, equal 180 degrees. So, to solve, simply subtract 43 from 180. We get 137. Thus, z is 137 degrees.

We know that x is a verticle angle to angle z, meaning they will be the same in terms of degree measure. That means that x is also 137 degrees.

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough