Question

Z's PUN and NUK are adjacent to, and congruent, to each other. Their sum is 58°, and Z PUK is worth 5 more than x. Find the value of x. a) 10° b) 15° c) 20° d) 25°

Answer 1

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: