Find the value of x.

Step-by-step explanation:
The sum of the three angles in a triangle must be [tex]180[/tex]. Since this triangle has a right angle, we know that it is [tex]90[/tex]°, so the sum of the remaining two angles must be [tex]90[/tex].
We can set up an equation for the two remaining angles to determine the value of [tex]x[/tex]:
[tex](x + 28) + x = 90[/tex]
[tex]2x + 28 = 90[/tex]
[tex]2x = 62[/tex]
[tex]x = 31[/tex]
Answer:
x = 31
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180 degrees.
x + x + 28 + 90 = 180
2x + 118 = 180
2x = 62
x = 31