Write down each pair of vertically opposite angles shown in the following figure: O, P, Q, R, S, T
Solution:
Given, the figure represents two lines RS and PQ intersecting at O and a ray OT.
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
∠ROP and ∠QOS
∠ROQ and ∠POS
By the property,
∠ROP = ∠QOS and ∠ROQ = ∠POS
✦ Try This: Write down each pair of vertically opposite angles shown in the following figure: ADBCO
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 73(i) - (iv)
Write down each pair of vertically opposite angles shown in the following figure: O, P, Q, R, S, T
Summary:
Each pair of vertically opposite angles are ∠ROP, ∠QOS and ∠ROQ, ∠POS.
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