Qis in the interior of angle ros s in the interior of angle qop. p is in the interior of angle sor. s is in the interior of angle rot and the measure of angle rot is 160° the measure of angle sot is 100° and the measure of angle roq to equals the measure of angle qos equals the measure of angle pot

∠ROT=160°

∠SOT=100°

Now ∠SOR= ∠ROT - ∠SOT

∠ SOR = 160°-100°

∠ SOR =60°

It is given that measure of angle ROQ to equals the measure of angle QOS equals the measure of angle POT.

∠SOQ + ∠QOR = 60°

But ∠SOQ = ∠QOR

2∠SOQ=60°

∠SOQ=60°÷2

∠SOQ =30°

Also ∠POT=∠SOQ=∠ROQ=30°

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation: