2. Find the values of x, y and z in the images below. Justify your answers in each case. (ii) (ii)
(i) (i)
(i)
(i) P
P P (i) P39° P (i) O 39°
39°O O y°39° y°R
39°P O
x° x°
y°
(iv) (iv) (iv)
(iv) (iv)
(iv) 65°
x° y°x° y° x° y°x° y°
65° 65° 65°z°
x° y°z° 65° z° z° x° y° 65° z° z° R 39°
Q x°
Q Q x°
Q O y° O R R Q x° x° y° y° R R 73° Q (ii) (ii) (ii)
(ii) 138°138° x°
73° 73° y z° 73°y z°
y z°y z° y z° ° 73°
° x° ° °
(v) (v) (v)
(v) y°
y° z°x° z°
(v) y°
(v) x y° z°
138° x°
x°
138° x° °
73° x° y° y z° ° x°
x°z° 106°106°y°z° x° 106°
106° z° 106° 106°
(vi) (vi) (vi)
(vi) 138° 138° x°
(iii) (iii) (iii)
(iii)
(iii)153°153°(iii) 153°
153°
x° x°
(vi) (vi)
80° 65° 95°
80° 65° 95°
x° x°
x°
80° 65° 95°
y° y°
80° 65° 95°
x°y°
80° 65° 95°
y°
80° 65° 95°
x°
z° z°
x°z° z y° y° z° z° 153°
153° x°
x°
z° z°
61° 61° z°x°
x°
61° z°
y° y°
61° y° y° 61° z° 61° z° y° y°
3. Copy the diagram shown into your copybook. On your diagram: (i) use the letter A to mark a pair of corresponding angles (ii) use the letter B to mark a pair of vertically opposite angles (iii) use the letter C to mark a pair of alternate angles
(iv) use the letter D to mark any other pair of angles that are related to each other and describe the relationship between them.
4. In the diagram below, AB and CD are parallel. PQ and PR are straight lines.
(i) Find the value of x. Give a reason for your answer. (ii) Find the value of y . Give a reason for your answer.
Q A R 71° 62° C
x° y° P
B
6. In the diagram, CE and BD are parallel. AC and AEare straight lines. Find the value of p. Give a reason for your answer.
C p° B 38° D A
5. In the diagram below, AB and CD are parallel. PQ and PR are straight lines.
(i) Find the value of x. Give a reason for your answer. (ii) Find the value of y . Give a reason for your answer.
P A y° 57° C Q x° 109° D R A y° z° 36° B Section C Applying our skills C 483 7.
In the diagram, AD and BE are parallel. AC is a straight line.
(i) Find the value of y. Give a reason for your answer.
(ii) Find the value of z. Give a reason for your answer.