Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. State whether the statement is true or false
Solution:
Given, interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.
We have to determine if the given statement is true or false.
Consider two parallel lines l and m cut by a transversal n,
The co-interior angles are
∠3 and ∠6
∠4 and ∠5
From the properties of angles formed by transversal on two parallel lines,
If two parallel lines are intersected by a transversal, each pair of interior angles on the same side of the transversal is supplementary.
By the above property,
∠3 + ∠6 = 180°
∠4 + ∠5 = 180°
So, the sum of co-interior angles is always equal to 180 degrees.
Interior angles on the same side of a transversal with two distinct parallel lines are not complementary angles.
Therefore, the given statement is false.
✦ Try This: Interior angles on the same side of a transversal with two distinct parallel lines are supplementary angles. State whether the statement is true or false
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 67
Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles. State whether the statement is true or false
Summary:
The given statement,”Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles” is false
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