If a transversal intersects two parallel lines, then the sum of interior angles on the same side of a transversal is ____________. Fill in the blanks to make the statement true
Solution:
Given, if a transversal intersects two parallel lines, then the sum of interior angles on the same side of a transversal is ____________.
We have to fill in the blanks to make the statement true.
Consider two parallel lines l and m cut by a transversal n,
The co-interior angles are
∠3 and ∠6
∠4 and ∠5
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°
Therefore, the sum of co-interior angles is always equal to 180 degrees.
✦ Try This: If a transversal intersects two parallel lines, each pair of ________ angles is equal. Fill in the blanks to make the statement true
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 45
If a transversal intersects two parallel lines, then the sum of interior angles on the same side of a transversal is ____________. Fill in the blanks to make the statement true
Summary:
If a transversal intersects two parallel lines, then the sum of interior angles on the same side of a transversal is 180°
☛ Related Questions:
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