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masya89 [10]
3 years ago
5

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

Mathematics
1 answer:
sladkih [1.3K]3 years ago
4 0

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 \:\:}

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