Question

if two lines intersact at a point and if one pair of vertically opposite angles is of measure 60° , then the other pair of vertically opposite angles are of measure___ degree​

Answer 1

Answer:

120° degree is the right answer

Answer 2

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 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.