The drawings below (Fig. 5.37), 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.
Estimate at least two situations such that the angles formed by different positions of two players are complement to each other.
Solution:
Given, the figures 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.
We have to determine at least two situations such that the angles formed by different positions of two players are complementary.
When the sum of the measures of two angles is 90°, the angles are called complementary angles.
Sum of angles = 90°
case(i):
Consider two angles 40° and 50°
Sum = 40° + 50°
= 90°
Case (ii):
Consider two angles 30° and 60°
Sum = 30° + 60°
= 90°
Therefore, the two situations are 40°, 50° and 30°, 60°.
✦ Try This: The complementary angle of 45° is
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 76 (c)
The drawings below (Fig. 5.37), 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. Estimate at least two situations such that the angles formed by different positions of two players are complement to each other.
Summary:
Two situations such that the angles formed by different positions of two players are complementary to each other are 40°, 50° and 30°, 60°
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