When an angle is bisected, it is cut exactly in half.
m∠PQS=71^(∘)
m∠PQR=142^(∘)
Practice makes perfect
The expression m∠PQS indicates the measure of the angle between rays QP and QS. Similarly, the expression m∠PQR indicates the measure of the angle between rays QP and QR. We are also told that QS bisects ∠PQR. This means that it cuts the angle exactly in half.
Looking at the figures, we can see that m∠PQR is equal to the sum of m∠PQS and m∠RQS. We can form an equation to solve for the missing angles using the given measure and the fact that the two angles created by the bisector are equal to one another.
