Pui Ying College

Pui Ying College F.1 Mathematics Chapter Twelve – Angles Related with Lines and Rectilinear Figures Supplementary Exercise

Name: ______Date: ______Class: ______( )

Exercise 12.1 1. In the figure, AFD and BFE are straight lines. Find b and c.

2. In each of the following, AB and CD intersect at O. Find x and y (a)

3. In the figure, ABC is an isosceles triangle in which A =80 , BCD is a straight line and EC bisects ACD . Find (a) ACB and

(b) ACE .

1 4. In the figure, XYZ is a straight line and TXY is an isosceles triangle. Given that TYZ  130, find (a) TYX and

(b) TXY .

5. In the figure, AB and CD are straight lines. Find the values of x and y.

6. In the figure, AB and CD are straight lines. Find the values of x and y.

Exercise 12.2 1. Refer to the figure, answer the following questions. (a) a and ______are corresponding angles. (b) b and ______are corresponding angles.

2. Refer to the figure, answer the following questions. (a) x and y are ______(b) a and b are ______

2 3. Refer to the figure, answer the following questions. (a) a and b are ______(b) a and c are ______

4. Refer to the figure, write down (a) the alternate angles of D and E respectively.

(b) the interior angle on the same side of D .

5. Refer to the figure. Write down (a) the corresponding angle of x;

(b) the alternate angle of y;

(c) the interior angle on the same side of B .

Exercise 12.3 1. Find the unknown angles in the figure.

2. Find the unknown angles in the figure.

3. Find the unknown angles in the figure.

3 4. Find the unknown angle in the figure.

5. Find the unknown angle in the figure.

6. Write down the pair of parallel lines in the figure and give the reason.

9. Write down the pair of parallel lines in the figure and give the reason(s).

4 10. In the figure, AB//DEF and BC = BE. Find the values of u and v.

11. In the figure, AB//DC and AD//BC. Find the values of x and y.

12. In the figure, ABC//DEF. Determine whether BD//CE and give the reason.

Exercise 12.4 1. Find the unknown angle in the figure.

5 4. Find the unknown angle in the figure.

7. In ABC shown on the right, AD bisects BAC , B  58 and ADC  96 . Find C.

8. In the figure on the right, the angle bisector of B meets the angle bisector of ACD at E. Given that BEC  27 , find BAC.

Exercise 12.5 1. Find the unknown angle.

6 2. Find the unknown angle.

3. Find the value of n if the sum of the interior angles of a regular n-sided polygon is: (a) 1260

(b) 2520

4. Find the value of n if an exterior angle of a regular n-sided polygon is: (a) 90

(b) 72