Question

Find the indicated missing angle. Round to the nearest angle.

Answer 1

Answer:

The missing angle 'x' is 22.29°.

i.e.     $x\:=\:22.29^{\circ \:\:}$

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

                          $x=\tan ^{-1}\left(0.41\right)$

                             $x\:=\:22.29^{\circ \:\:}$

Therefore, the missing angle 'x' is 22.29°.

i.e.     $x\:=\:22.29^{\circ \:\:}$