Question

Four angles are formed by the intersection of the diagonals of this quadrilateral which statement is NOT true

Answer 1

The correct answer (the one that isn't true) is the last one, "angle 1 and angle 2 are equal"

Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

The diagonals of a quadrilateral insects at a point and 4 angles are formed. The measure of vertically opposite angles are same.

So out of four angles two opposites angles have same measure and another two opposites angles have same measure.

From the given figure we can say that the angle 1 and 2 are adjacent angles because both angles have a common side. First statement is true.

The angle 2 and the angle 120 degree lies on a straight line, therefore they are supplementary angles and their sum is 180 degree.

$\angle 2+120^{\circ}=180^{\circ}$

$\angle 2=180^{\circ}-120^{\circ}$

$\angle 2=60^{\circ}$

Therefore second statement is true.

The angle 1 in vertically opposite angle whose measure is 120 degree. Since the vertically opposite angles are same, therefore

$\angle 1=120^{\circ}$

Therefore third statement is true.

The measure of angle 1 is 120 degree and the measure of angle 2 is 60 degree.

$\angle 1\neq \angle 2$

Therefore fourth statement is false, therefore option 4 is correct.