Question

10 - 15

If mZMPL = 63, find each measure.
A)JK =
B)mNJ=
c)mJL=
D)mKNM=
E)mMJL=
F)mJLK=
Note please help me My sleep schedule is ruined from this homework and I got more help me

Answer 1

See explanation below.

Step-by-step 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 )`