Triangle P Q R is shown. Angle R P Q is 99 degrees and angle P Q R is 31 degrees. The length of Q R is 11. Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units