In \(\Delta  ABC, AB = 5, AC = 8\), \(\angle {\rm{ABC}}={\rm{40}}^\circ \). Find \(\angle {\rm{ACB}}\).

In \(\Delta PQR , PQ = 6.4 ,PR = 11.8\) and \(\angle {\rm{PRQ}}\) = \({\rm{31}}^\circ \) \({\rm{14'}}\). Find \(\angle {\rm{PQR}}\)

In \(\Delta  DEF , DE = 16 , DF = 24\), \(\angle {\rm{DEF}}\) = \({\rm{60}}^\circ \). Find \(\angle {\rm{DFE}}\).

In \(\Delta  {\rm{LMN}} ,LM = 7,LN = 11\) and \(\angle {\rm{LNM}}\) = \({\rm{24}}^\circ \). Find \(\angle {\rm{LMN}}\).

Find \(\angle P\) to the nearest minute 

In \(\Delta ABC\), \(\angle ACB = {25^o}\), AC = 10 and AB = 7. Find the size(s) of \(\angle ABC\).

In \(\Delta ABC\), \(\angle ABC = {62^o}\), AC=8 and AB=5. Find the size(s) of \(\angle ACB\), to the nearest degree

In \(\Delta ABC\), \(\angle ABC = {62^o}\), AC=8 and AB=5. Find the size(s) of \(\angle ACB\), to the nearest degree.

In \(\Delta PQR\), \(\angle PRQ = {30^o}\), \(PR = 2\sqrt 3 \) and \(PQ=2\).

i) Find the size(s) of \(\angle PQR\)

ii) Find the size(s) of QR.

In \(\Delta ABC\), AB = 4, AC = 9 and \(\angle ABC = {64^o}\), . Find the size(s) of \(\angle ACB\)

In triangle \(ABC\), \(AB = 4.1\)cm, \(BC = 3.2\)cm and \(\angle ABC = 30^\circ\).

i) Find the area of the triangle, giving your answer correct to one decimal place.

ii) Find two values for the angle \(ACB\) and by considering the area of the triangle, or otherwise, determine the correct angle of \(ACB\).

In \(\Delta {\rm{PQR}}\), \(PQ = 6\), \(PR = 9\), \(\angle {\rm{PRQ}}\), \({\rm{24}}^\circ \). Find \(\angle {\rm{PQR}}\).

In \(\Delta {\rm{LMN}}\), \(LM = 5\), \(MN = 8\) and \(\angle {\rm{MLN}}={\rm{62}}^\circ \). Find \(\angle {\rm{LNM}}\).

In \(\Delta ABC\), \(AB=4.6\), \(AC=7.2\) and \(\angle ABC = 19^\circ \). Find the size(s) of \(\angle ACB\). 

In \(\Delta PQR\), \(PQ=5\, QR=8\) and \(\angle PQR = 30^\circ \).

i) Find the size of \(\angle PQR\) (nearest degree) 

ii) Find the length of \(PR\)