Question

What is the value of x in the following figure?

A: 128 degrees

B: 142 degrees

C: 52 degrees

D: 38 degrees

Show work.

Answer 1

The answer is: D. 38 degree’s

hope this helps :)

Answer 2

D: 38 degrees

Explanation:

this is a case of linear pair...

52° + 90° (of the right angled triangle) + x° = 180°

52° + x° = 180° - 90°

x° = 90° - 52°

x° = 38°