Xét tam giác vuông NMP có:

$\widehat{N}+\widehat{NMP}+\widehat{P}={{180}^{0}}$

Thay số: ${{60}^{0}}+{{90}^{0}}+\widehat{P}={{180}^{0}}$

$\Rightarrow \widehat{P}={{180}^{0}}-\left( {{60}^{0}}+{{90}^{0}} \right)={{30}^{0}}$

Xét tam giác vuông MIP có:

$\widehat{MIP}+\widehat{P}+\widehat{IMP}={{180}^{0}}$

Thay số:

${{90}^{0}}+{{30}^{0}}+\widehat{IMP}={{180}^{0}}$

$\widehat{IMP}={{180}^{0}}-({{90}^{0}}+{{30}^{0}})={{60}^{0}}$