Question

Help solve this question please

Answer 1

y= 43 degrees

z= 137 degrees

x= 137 degrees

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.

Answer 2

X=137º, Y=43º, and Z=137º.

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.