pls give me the answer with process. l will mark you as brainlist.
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Question:-
In the following figure p || q and m is a transversal. Find the value of x.
Answer :-
- The value of x is 36.
Step-by-step explanation:
To Find :-
- The value of x.
Given that,
- p is parallel to q [ p || q ]
- m is a transversal.
Firstly, finding the measure of the other linear pair of angle 4x.
⇒ 4x + other linear = 180° ... [ 180° ∵ linear pair are supplementary ]
As given, p || q and m is transversal,
∴ ∠x = other linear pair ... corresponding angle.
Now, A . T . Q,
⇒ 4x + x = 180
⇒ 5x = 180
⇒ x = 180/5
⇒ x = 36
Hence, The value of x is 36.
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