Answer:
Let's break down the information given:
1. Z's PUN and NUK are adjacent and congruent, which means they are two equal angles.
2. The sum of Z's PUN and NUK is 58°.
3. Z PUK is worth 5 more than x.
Let's call the measure of Z's PUN and NUK as "y" degrees each.
According to the given information:
2y = 58° (since Z's PUN and NUK sum up to 58°)
y = 58° / 2
y = 29°
So, each of Z's PUN and NUK is 29°.
Now, we know that Z PUK is worth 5 more than x, and since Z's PUN and NUK are each 29°:
Z PUK = 29° + 5° = 34°
Now, we need to find the value of x, which is the measure of Z PUK. So, x = 34°.
Therefore, the value of x is 34°, and none of the given answer choices match.
Explanation: