Answer:
The missing angle 'x' is 22.29°.
i.e. [tex]x\:=\:22.29^{\circ \:\:}[/tex]
Step-by-step explanation:
Let 'x' be the missing angle of the triangle.
Using the formula
tan x = opp ÷ adjacent
tan x = 30 ÷ 72
tan x = 0.41
[tex]x=\tan ^{-1}\left(0.41\right)[/tex]
[tex]x\:=\:22.29^{\circ \:\:}[/tex]
Therefore, the missing angle 'x' is 22.29°.
i.e. [tex]x\:=\:22.29^{\circ \:\:}[/tex]
