find m∠i. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠i =

Answer:

$49.4^{\circ}$

Explanation:

Step1: Recall tangent - ratio formula

$\tan I=\frac{KJ}{KI}$

Step2: Substitute side - lengths

Given $KJ = 7$ and $KI=6$, then $\tan I=\frac{7}{6}\approx1.1667$.

Step3: Find the angle

$I=\arctan(1.1667)$. Using a calculator, $I\approx49.4^{\circ}$.