### Home > GC > Chapter 12 > Lesson 12.2.4 > Problem12-94

12-94.

Polly has a pentagon with angle measures $3x-26º$, $2x + 70º$, $5x-10º$, $3x$, and $2x + 56º$. Find the probability that if one vertex is selected at random, then the measure of its angle is more than or equal to $90º$.

$(3x-26º)+(2x+70º)+(5x-10º)+(3x)+(2x+56º)=540º$

Solve for $x$, which will then allow you to find the value of each angle.

Add together the angles that are $≥ 90º$, then divide the sum by $5$ (the total number of vertices).

$\text{Probability}=\frac{4}{5}$