Respuesta :

Answer:

x = 11°

Step-by-step explanation:

From the question the total angle here is 90° that means the angles are complementary.

Complementary angles are angles that add up to 90°

To find the value of x add the individual angles that's [tex]\angle[/tex] ZWY and [tex]\angle[/tex] XWY and equate it to

m [tex]\angle[/tex] XWZ that's 90°

So we have

[tex]\angle[/tex] ZWY + [tex]\angle[/tex] XWY = m [tex]\angle[/tex] XWZ

2x + 8 + 5x + 5 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

Divide both sides by 7

We have the final answer as

x = 11°

Hope this helps you