1 In Diagram 1, ABC and DBE are straight lines.

Diagram 1

Find the value of m.

2 In Diagram 2, ABC and DBE are straight lines.

Diagram 2

Find the value of n.

3 In Diagram 3, PQR and SQT are straight lines.

Diagram 3

Find the value of y.

4 In Diagram 4, PQR and SQT are straight lines.

Diagram 4

Find the value of y.

5 In Diagram 5, ABC and DBE are straight lines.

Diagram 5

Find the value of m.

Answer:

1 m = 180 − (180 − 106) − 44     = 62

2 n = 180 − (180 − 125) − 50     = 75

3 y = 180 − (180 − 86) − 52     = 34

4 y = 180 − (180 − 105) − 32     = 73

5 m = 180 − (180 − 91) − 55     = 36