Answer:
The measure of angle P is 80 degrees
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
In this problem we have that
[tex]m\angle O+m\angle P+m\angle Q=180^o[/tex]
substitute the given values
[tex](3x+12)^o+(4x+4)^o+(x+12)^o=180^o[/tex]
solve for x
[tex](8x+28)=180[/tex]
[tex]8x=180-28[/tex]
[tex]8x=152[/tex]
[tex]x=19[/tex]
Find the measure of angle P
[tex]m\angle P=(4x+4)^o[/tex]
substitute the value of x
[tex]m\angle P=(4(19)+4)=80^o[/tex]
