Sum of interior angles on the same side of a transversal with two parallel lines is 90°. State whether the statement is true or false
Solution:
Given, the sum of interior angles on the same side of a transversal with two parallel lines is 90°.
We have to determine if the given statement is true or false.
Same side interior angles are two angles that are on the interior of (between) the two lines and specifically on the same side of the transversal.
The same-side interior angles sum up to 180 degrees.
The 2 non-adjacent interior angles that are on the same side of the transversal are supplementary.
The interior angles are
∠3 and ∠6
∠4 and ∠5
From the above definition,
It is clear that the sum of interior angles on the same side of a transversal is equal to 180 degrees.
Therefore, the given statement is false.
✦ Try This: Sum of two complementary angles is 100°. 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 Sample Problem 10
Sum of interior angles on the same side of a transversal with two parallel lines is 90°. State whether the statement is true or false
Summary:
The given statement,”Sum of interior angles on the same side of a transversal with two parallel lines is 90°” is false.
☛ Related Questions: