what is the measure of the missing angle?

Explanation:

Step1: Recall angle - sum property of a quadrilateral

The sum of interior angles of a quadrilateral is $360^{\circ}$.

Step2: Let the missing angle be $x$.

Set up the equation $x + 85^{\circ}+148^{\circ}+60^{\circ}=360^{\circ}$.

Step3: Simplify the left - hand side of the equation

$x+(85 + 148+60)^{\circ}=x + 293^{\circ}$.

Step4: Solve for $x$

$x=360^{\circ}-293^{\circ}$. $x = 67^{\circ}$.

Answer:

$67^{\circ}$