Maths-
General
Easy
Question
Identify the incorrect statement.
- πβ 2β + πβ 3β = 180Β°
- β 3β β
ββ 7
- β 3β β
ββ 5
- πβ 1β + πβ 3β = β180Β°
Hint:
Use option checking method and determine whether each statement is true or false using a valid argument .If the option is incorrect /false then that option is the answer.Β
The correct answer is: πβ 1β + πβ 3β = β180Β°
Explanation :-
a. πβ 2β + πβ 3β = 180Β°
True, As lines m and l are parallel then the sum of interior angles on the same side of the transversal is 180Β°.Angle 2 and angle 3 are interior angles lying on the same side of the transversal.
b. β 3β β
ββ 7
True,as angle 3 and angle 7 are alternate angles to transversal and interior angles to the parallel lines they both are alternate interior angles. As, alternate interior angles are equal β 3β β
ββ 7.
c. β 3β β
ββ 5
True, both angles 3 and 5 lie on the opposite angles at the intersection line l and t.
They will be vertically opposite angles. As, vertically opposite angles are equal then β 3β β
ββ 5.
d. πβ 1β + πβ 3β = β180Β°
False, angle 1 and angle 3 are the angles with corresponding positions at the different vertices. So, angles 1 and 3 are corresponding angles. As, corresponding angles are equal then β 1β β
ββ 3 but not πβ 1β + πβ 3β = β180Β°.
Β
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