4. a) since we know RT and TS are the same, we know that triangle RTS is an isosceles triangle, meaning angle RST is the same as TRS; being 32^{o}

b) angle RTS is --> 180 - 32 - 32 = 116^{o}

c) we know angle SPQ is 45^{o}, and now that we know angle QSP or RST is 32^{o}, we can find angle PQS.

180 - 45 - 32 = 103^{o}

5. a) angle DBC 72^{o} because of corresponding angles

b) angle C is the same as angle DBC because it's an isosceles triangle. (72^{o})

c) angle CDB is 180 - 72 - 72 = 36^{o}

d) angle DEB is 180 - 90 - 36 = 54^{o}

e) angle BEA is 36^{o}, and we know that because of alternate angles (equal to angle DBE)

f) angle EBA is 180 - 36 - 72 = 72^{o}

tell me if I did anything wrong :)