Question

Ray PT is the angle bisector of angle RPS. Find the measure of angle RPS.

Answer 1

Answer:

m∠RPS = 38°.

Step-by-step explanation:

It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.

$m\angle RPT=m\angle TPS=19^{\circ}$

Now, it is clear that

$m\angle RPS=m\angle RPT+m\angle TPS$

$m\angle RPS=19^{\circ}+19^{\circ}$

$m\angle RPS=38^{\circ}$

Therefore, the measure of angle RPS is 38°.