The value of x , t and r are 14° ,12.37 and 3 respectively.
Trigonometric ratio is the relationship between the sides of a right triangle.
The value of x in the triangle is
x = 180 - ( 90 + 76)
x = 180 - 166
x = 14°
Using trigonometry ratio
sin 76 = opp/hyp
sinn 76 = 12/t
t = 12/sin76
t = 12/0.970
t = 12.37
Using Pythagorean theorem
r = √12.37² - 12²
r = √ 9
r = 3
Therefore , the value of x , t and r are 14° ,12.37 and 3 respectively.