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Question
The measure of the angle is given below. Write the measure of the complementary angle.
63°
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Solution
Let the measure of the complementary angle be a.
63° + a = 90°
a = 90° − 63°
∴ a = 27°
Hence, the measure of the complement of an angle of measure 63° is 27°
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The drawings below (Figure), show angles formed by the goalposts at different positions of a football player. The greater the angle, the better chance the player has of scoring a goal. For example, the player has a better chance of scoring a goal from Position A than from Position B.
In Parts (a) and (b) given below it may help to trace the diagrams and draw and measure angles.
- Seven football players are practising their kicks. They are lined up in a straight line in front of the goalpost [Figure]. Which player has the best (the greatest) kicking angle?
- Now the players are lined up as shown in figure. Which player has the best kicking angle?
- Estimate atleast two situations such that the angles formed by different positions of two players are complement to each other.
In the following figure, P, Q and R are collinear points and TQ ⊥ PR, name; pair of complementary angles.
