Write down each pair of vertically opposite angles shown in the following figure: 1, 2, 3, 4, 5, 6, 7, 8
Solution:
Given, the figure represents two lines intersected by another line at two distinct points.
We have to write each pair of vertically opposite angles.
Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
From the figure,
The vertically opposites angles are
∠1 and ∠3
∠2 and ∠4
∠5 and ∠7
∠6 and ∠8
By the property,
∠1 = ∠3; ∠2 = ∠4; ∠5 = ∠7 and ∠6 = ∠8
✦ Try This: Write down each pair of vertically opposite angles shown in the following figure: ACBDO
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 73(i) - (i)
Write down each pair of vertically opposite angles shown in the following figure: 1, 2, 3, 4, 5, 6, 7, 8
Summary:
Each pair of vertically opposite angles are ∠1, ∠3; ∠2, ∠4; ∠5, ∠7 and ∠6, ∠8
☛ Related Questions: