Answer:
See explanation below.
Explanation:
From the definition of adjacent angles, the sum of measure of all the adjacent angles on a horizontal line equals to [tex]180^{\circ }[/tex].
From the given figure, we have:
[tex]m\angle NPM+m\angle MPL+m\angle LPK\:=\:180^{\circ }\\\\m\angle NPM+63^{\circ }+90^{\circ }\:=\:180^{\circ }\\\\m\angle NPM\:=\:27^{\circ }\\[/tex]
And from the definition of alternate angles, we have:
[tex]m\angle NPM\:=m\angle KPJ\:=\:27^{\circ }[/tex]
