Question

What is the measure of ∠LPQ?

What is the measure of ∠LPN

Answer 1

Lpq=x ¥€ % 28^ £¥[ x 671

Answer 2

`\tt Step-by-step~explanation:`

Since no real values are given for the angles, we will not have an exact angle measurement.

If ∠LPQ is x+28, then that means ∠NPM is the same, since they are vertical angles.

`\tt LPQ=x+28\\NPM=x+28`

Since ∠QPM is x, then ∠LPN is also x, because they are also vertical angles.

`\tt QPM=x\\LPN=x`

`\large\boxed{\tt Our ~final~answer:~LPQ=x+28,~LPN=x}`