Answer:
23 degrees
Explanation:
The diagram representing this question is drawn and attached below:
Theorem: The exterior angle of a triangle is equal to the sum of the opposite interior angles.
Applying the theorem above gives:
[tex]x+14+x-1=5x-2[/tex]We solve for x.
[tex]\begin{gathered} 2x+13=5x-2 \\ 5x-2x=13+2 \\ 3x=15 \\ x=\frac{15}{3} \\ x=5 \end{gathered}[/tex]Therefore, the measure of angle OPQ will be:
[tex]\begin{gathered} m\angle\text{OPQ}=5x-2 \\ =5(5)-2 \\ =25-2 \\ =23\degree \end{gathered}[/tex]
