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3. Draw angle DEF = 41 0 with DE = 38 mm and EF = 62 mm. Find the length of DF. Definitions - Adjacent angles. These are angles that lie next to one another. E.g. angles AOB and BOC. C a B O b A In the above figure, if the two angles AOB and BOC are equal, OB is said to bisect angle AOC, or to be the bisector of angle AOC - Adjacent angles on a straight line are supplementary i.e. their sum is two right angles (180 0 ). B C b O a A - If two straight lines intersect, four angles are formed. The two angles that are opposite each other are called vertically opposite angles. Vertically opposite angles are equal. Angles AXP, BXQ are called vertically opposite angles. Q B B X A P - Angles whose sum is 90 are called complementary angles.
Exercise 1. In the figure shown, x = 42 0 . ABC is straight line. Find y. A y B x C 2. In the figure below AOB is a straight line and OX bisects angle AOC. If angle AOX = 62 0 , calculate angle BOC. X C A O B 3. In the figure below, OA is the bisector of angle POX and OB is the bisector of angle YOQ, and angle POX = 40 0 , calculate angles POA, POY and YOB. 4. In the figure below, find x.
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Page 11 and 12: 8. A business man had sh. 1 200 000
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