Question

if two lines intersect and if one pair of vertically opposite angles is formed by acute angles then the other pair of vertically opposite angles will be formed by obtuse angles give reason and also state true and false​

Answer 1

Answer:

The answer is True.

Hope this helps...

Answer 2

True

When two lines intersect, the sum of one angles from both the pairs of vertically opposite angles, is 180⁰

Now, if one pair forms an acute angles, say θ be 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.