Answer:
m∠JNP=43°
m∠KNJ=94°
m∠KNL=43°
Explanation:
see the attached figure to better understand the problem
we know that
m∠JNP+m∠KNJ+m∠KNL=180° ----> by definition of supplementary angles
we have
m∠JNP=(2x+3)°
m∠KNJ=(3x+34)°
m∠KNL=(3x-17)°
substitute the values
(2x+3)°+(3x+34)°+(3x-17)°=180°
Combine like terms in the left side
(8x+20)=180
Subtract 20 both sides
8x=180-20
8x=160
x=20
Find the measure of m∠JNP
m∠JNP=(2x+3)°
substitute the value of x
m∠JNP=(2(20)+3)=43°
Find the measure of m∠KNJ
m∠KNJ=(3x+34)°
substitute the value of x
m∠KNJ=(3(20)+34)=94°
Find the measure of m∠KNL
m∠KNL=(3x-17)°
substitute the value of x
m∠KNL=(3(20)-17)=43°