If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 120°, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is
a. less than 120°
b. greater than 120°
c. is equal to 120°
d. greater than 180°
Solution:
We have to form a triangle to meet the line BE and DF
If the lines AB and CD is considered it won’t meet as the sum of base angles is greater than 180°
It is given that
x + y = 120°
It will only intersect on AE and CF side as the base angles x + y = 120° is less than 180°
Therefore, the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is equal to 120°.
✦ Try This: Naresh and Naveen have the same weight. If they each gain weight by 8 kg, how will their new weights be compared ?
Given, Naresh and Naveen have the same weight.
We have to compare their new weights when each of them gains 8kg.
Let the weight of Naresh be x kg
So, weight of Naveen = x kg
When each gain weight by 8kg,
Weight of Naresh = (x + 8) kg
Weight of Naveen = (x + 8) kg
Using Euclid’s second axiom,
If equals are added to the equals, the wholes are equal.
From the Euclid’s axiom,
(x + 8) = (x + 8)
Therefore, the weight of Naresh is equal to the weight of Naveen.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5
NCERT Exemplar Class 9 Maths Exercise 5.1 Sample Problem 6
If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 120°, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is a. less than 120°, b. greater than 120°, c. is equal to 120°, d. greater than 180°
Summary:
If a straight line falling on two straight lines makes the interior angles on the same side of it, whose sum is 120°, then the two straight lines, if produced indefinitely, meet on the side on which the sum of angles is equal to 120°
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