Question

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

Answer 1

The missing angle 'x' is 22.29°.

i.e.
`x\:=\:22.29^(\circ \:\:)`

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 \:\:)`