1 Answer

Paulo Griiettner · Answer 1 · 2021-10-12T23:59:24+0000

I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.

Answer:

n=31°

Explanation:

If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.

We can see that angles 2 and 3 form a right angle, or:

$m\angle 2 + m\angle 3=90^\circ$

We are also given that:

$m\angle 2=2n-4$

$m\angle 3=n+1$

Substituting (get rid of the units):

2n-4+n+1=90

Joining like terms:

3n-3=90

Adding 3:

3n=90+3=93

Solving:

n=93/3

n=31°

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