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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