Question

10 - 15

Answer 1

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 $180^{\circ }$.

From the given figure, we have:

$m\angle NPM+m\angle MPL+m\angle LPK\:=\:180^{\circ }\\\\m\angle NPM+63^{\circ }+90^{\circ }\:=\:180^{\circ }\\\\m\angle NPM\:=\:27^{\circ }$

And from the definition of alternate angles, we have:

$m\angle NPM\:=m\angle KPJ\:=\:27^{\circ }$