**Question 2 (a)**:

(i) Name

**one**angle which is equal to angle

*d*.

(ii) Find the value of angle

*j*.

**Solution**:**(i)**

*d*=

*f*

(ii)

(ii)

*j*+ 108 = 180

*j*= 180 – 108

*j*= 72

**Question 2 (b)**:

Statement:

(i) Locus

*X*is a moving point such that its distance is constantly 4 units from point

*Q*.

(ii) Locus

*Y*is a moving point such that its perpendicular distance is always 2 units from line

*PS*.

(iii) Locus

*Z*is a moving point such that it is always equidistant from point

*P*and point

*R*.

In the answer space, draw the locus for each of the given statement on squares grid of 1 unit.

Answer:

**Solution**:**Question 2 (c)**:

(i) Solve: 5(3 +

*x*) = 20

*x*

(ii) In Diagram 2.2,

*ABCD*is a trapezium and

*EFG*is an equilateral triangle. The perimeter of trapezium

*ABCD*is equal to the perimeter of triangle

*EFG*.

Find the value of

*w*.

**Solution**:**(i)**

5(3 +

*x*) = 20

*x*

15 + 5

*x*= 20

*x*

15

*x*= 15

*x*= 1

**(ii)**

Perimeter

*ABCD*= Perimeter

*EFG*

*w*+ 6 + 9 + 2

*w*+ 9 = 3 × 20

3

*w*+ 24 = 60

3

*w*= 36

*w*= 12