In the given figure, if AB || CD and EF is the transversal, then the value of (x+y) is ?
Answers
Answer:
d) 180°
Step-by-step explanation:
The sum of (x + y) = 180°.
This is because they are cointerior angles, whose sum will always be 180°.
Hence, the correct answer will be:
d) 180°
QUESTION:-
In the given figure, if AB || CD and EF is the transversal, then the value of (x+y) is ?
EXPLANATION:-
x=120° [VERTICALLY OPPOSITE ANGLES ARE EQUAL]
-----------------------------------------------------------------------
Now,
∠x+∠y=180° [ALTERNATE ANGLES ON SAME SIDE ARE SUPPLEMENTARY]
∠x=120° [Founded above]
120+∠y=180
∠y=180-120
∠y=60°
------------------------------------------------------------------------
So ∠x=120° and ∠y=60°
So,
→(x+y)=120+60
→(x+y)=180
Therefore:-
(x+y)=180 hence opt-[D] is required answer
RELATED QUESTIONS:-
https://brainly.in/question/44377950
https://brainly.in/question/44362366
https://brainly.in/question/44497580