Answer:
m∠NQP=74°
Step-by-step explanation:
we know that
The measure of the interior angles in a triangle must be equal to 180 degrees
In this problem
In the triangle NPQ
m∠N+m∠P+m∠Q=180°
we have
m∠N=(2x)°
m∠P=(34)°
m∠Q=(2x+2)°
substitute the values
[tex](2x)\°+(34)\°+(2x+2)\°=180\°[/tex]
solve for x
[tex](4x+36)\°=180\°[/tex]
[tex]4x=180-36[/tex]
[tex]4x=144[/tex]
[tex]x=36[/tex]
Find the measure of angle NQP
we know that
m∠NQP=m∠Q=(2x+2)°
substitute the value of x
m∠NQP=(2(36)+2)=74°
