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solve for m∠hik if m∠hij = 95° and m∠kij = 36°. answer m∠hik =

Question

solve for m∠hik if m∠hij = 95° and m∠kij = 36°. answer m∠hik =

Explanation:

Step1: Identify angle - relationship

We know that $\angle HIJ=\angle HIK+\angle KIJ$.

Step2: Rearrange the formula to solve for $\angle HIK$

$\angle HIK=\angle HIJ - \angle KIJ$.

Step3: Substitute the given values

Given $\angle HIJ = 95^{\circ}$ and $\angle KIJ=36^{\circ}$, then $\angle HIK=95^{\circ}-36^{\circ}$.

Step4: Calculate the result

$\angle HIK = 59^{\circ}$.

Answer:

$59^{\circ}$