Question

if two lines intersect at a point ,and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ..........​

Answer 1

Answer:

Obtuse

Step-by-step explanation:

This because the sum should be 360

So,If two are acute then the next pair hasx to be obtuse if you want to have the sum as 360

Answer 2

Answer:

Step-by-step explanation:

When two lines intersect, the sum of one angles from both the pairs of vertically opposite angles, is 180

 

Now, if one pair forms an acute angles, say θbe the acute angle.

Then the other angle formed be ϕ

hence, θ+ϕ=180

ϕ=180−θ

But, θ is an acute angle, hence ϕ is an obtuse angle.

hence, the other pair of vertically opposite angles will be formed by obtuse angles.