Maths-
General
Easy
Question
Identify the incorrect statement.
- 𝑚∠2 + 𝑚∠3 = 180°
- ∠3 ≅ ∠7
- ∠3 ≅ ∠5
- 𝑚∠1 + 𝑚∠3 = 180°
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.
The correct answer is: 𝑚∠1 + 𝑚∠3 = 180°
Explanation :-
a. 𝑚∠2 + 𝑚∠3 = 180°
True, As lines m and l are parallel then the sum of interior angles on the same side of the transversal is 180°.Angle 2 and angle 3 are interior angles lying on the same side of the transversal.
b. ∠3 ≅ ∠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 ∠3 ≅ ∠7.
c. ∠3 ≅ ∠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 ∠3 ≅ ∠5.
d. 𝑚∠1 + 𝑚∠3 = 180°
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 ∠1 ≅ ∠3 but not 𝑚∠1 + 𝑚∠3 = 180°.
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