In the adjoining figure, p || q. Find the unknown angles.
Solution:
We use the geometry concepts like parallel lines, alternate interior angles, supplementary angles, vertically opposite angles and adjacent angles to solve the problem.
Given p || q and it is intersected by a transversal.
∠π = 125°(corresponding angles)
125° + ∠π = 180°(Linear pair)
∠π = 180° - 125°
∠π = 55°
∠π = ∠f = 55°(vertically opposite angles)
∠π = ∠a = 55°(Corresponding angles)
∠π + ∠π = 180°(Linear pair)
55° + ∠π = 180°
∠π = 180° − 55°
∠π =125°
Also, ∠π = ∠π = 125°(Vertically opposite angles)
∠π = ∠π = 55°(Vertically opposite angles)
Thus, ∠π = 55°; ∠π = 125°; ∠π = 55°; ∠π = 125°; ∠π = 55° and ∠π = 55°.
β Check: NCERT Solutions Class 7 Maths Chapter 5
Video Solution:
In the adjoining figure, p || q. Find the unknown angles
NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.2 Question 3
Summary:
In the adjoining figure, p || q. The unknown angles are ∠π = 55°; ∠π = 125°; ∠π = 55°; ∠π = 125°; ; ∠π = 55° and ∠π = 55°.
β Related Questions:
- State The Property That Is Used In Each Of The Following Statements I If A B Then 1 5 Ii If 4 6 Then A B Iii If 4 5 180 Then A B
- In The Adjoining Figure Identify I The Pairs Of Corresponding Angles Ii The Pairs Of Alternate Interior Angles
- Find The Value Of X In Each Of The Following Figures If L M
- In The Given Figure The Arms Of Two Angles Are Parallel If Abc 70o Then Find I Dgc Ii Def