<p> Pui Ying College F.1 Mathematics Chapter Twelve – Angles Related with Lines and Rectilinear Figures Supplementary Exercise</p><p>Name: ______Date: ______Class: ______( )</p><p>Exercise 12.1 1. In the figure, AFD and BFE are straight lines. Find b and c.</p><p>2. In each of the following, AB and CD intersect at O. Find x and y (a)</p><p>(b)</p><p>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</p><p>(b) ACE .</p><p>1 4. In the figure, XYZ is a straight line and TXY is an isosceles triangle. Given that TYZ  130, find (a) TYX and</p><p>(b) TXY .</p><p>5. In the figure, AB and CD are straight lines. Find the values of x and y.</p><p>6. In the figure, AB and CD are straight lines. Find the values of x and y.</p><p>Exercise 12.2 1. Refer to the figure, answer the following questions. (a) a and ______are corresponding angles. (b) b and ______are corresponding angles.</p><p>2. Refer to the figure, answer the following questions. (a) x and y are ______(b) a and b are ______</p><p>2 3. Refer to the figure, answer the following questions. (a) a and b are ______(b) a and c are ______</p><p>4. Refer to the figure, write down (a) the alternate angles of D and E respectively.</p><p>(b) the interior angle on the same side of D .</p><p>5. Refer to the figure. Write down (a) the corresponding angle of x;</p><p>(b) the alternate angle of y;</p><p>(c) the interior angle on the same side of B .</p><p>Exercise 12.3 1. Find the unknown angles in the figure.</p><p>2. Find the unknown angles in the figure.</p><p>3. Find the unknown angles in the figure.</p><p>3 4. Find the unknown angle in the figure.</p><p>5. Find the unknown angle in the figure.</p><p>6. Write down the pair of parallel lines in the figure and give the reason.</p><p>7. Write down the pair of parallel lines in the figure and give the reason.</p><p>8. Write down the pair of parallel lines in the figure and give the reason.</p><p>9. Write down the pair of parallel lines in the figure and give the reason(s).</p><p>4 10. In the figure, AB//DEF and BC = BE. Find the values of u and v.</p><p>11. In the figure, AB//DC and AD//BC. Find the values of x and y.</p><p>12. In the figure, ABC//DEF. Determine whether BD//CE and give the reason.</p><p>Exercise 12.4 1. Find the unknown angle in the figure.</p><p>2. Find the unknown angle in the figure.</p><p>3. Find the unknown angle in the figure.</p><p>5 4. Find the unknown angle in the figure.</p><p>5. Find the unknown angle in the figure.</p><p>6. Find the unknown angle in the figure.</p><p>7. In ABC shown on the right, AD bisects BAC , B  58 and ADC  96 . Find C.</p><p>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.</p><p>Exercise 12.5 1. Find the unknown angle.</p><p>6 2. Find the unknown angle.</p><p>3. Find the value of n if the sum of the interior angles of a regular n-sided polygon is: (a) 1260</p><p>(b) 2520</p><p>4. Find the value of n if an exterior angle of a regular n-sided polygon is: (a) 90</p><p>(b) 72</p><p>7</p>