Question

Which of the following statements
is false? 1.Two vertically opposite angles can be acute
2.Two vertically opposite angles can be
obtuse
3.Two vertically opposite angles can be right
angles
4.Two vertically opposite angles may be
unequal​

Answer 1

Answer:

4.)Two vertically opposite angles may be

unequal

Step-by-step explanation:

The fourth option is false as vertically opposite angles can be acute , obtuse or right angle but they are always same in value.

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Answer 2

Given : Statement about vertically opposite angles

To Find : Which of the following statements is false

1.Two vertically opposite angles can be acute

2.Two vertically opposite angles can be obtuse

3.Two vertically opposite angles can be right angles

4.Two vertically opposite angles may be unequal​

Step-by-step explanation:

Vertical angles are angles opposite each other when two lines intersect.

Vertical angles are congruent.

Assume that ∠1 = 30° then ∠3 = 30°

and ∠2 = ∠4 = 150°

Hence

1.Two vertically opposite angles can be acute - TRUE

2.Two vertically opposite angles can be obtuse - TRUE

Assume that ∠1 = 90° then ∠3 = 90°

and ∠2 = ∠4 = 90°

3.Two vertically opposite angles can be right angles - TRUE

4.Two vertically opposite angles may be unequal​ - FALSE

as they are always equal

learn More:

Draw a pair of vertically opposite angle

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measurement of another angle

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