Question

find ( mangle i ).
write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle i = square^circ )

Explanation:

Step1: Identify sides relative to ∠I

Opposite side to ∠I: $JK = 6.8$; Adjacent side to ∠I: $IJ = 5$

Step2: Use tangent ratio for ∠I

$\tan(\angle I) = \frac{\text{opposite}}{\text{adjacent}} = \frac{6.8}{5} = 1.36$

Step3: Calculate ∠I via arctangent

$\angle I = \arctan(1.36)$
Using a calculator: $\arctan(1.36) \approx 53.7^\circ$

Answer:

$53.7$