Question

Two lines intersect at a point .If one pair of vertically opposite angles are acute angles
than other pair of vertically opposite angles are ___________

Answer 1

Answer:

obtuse angle

Step-by-step explanation:

because vertically opposite angles are equal

when one pair of vertically opposite angles are acute angles then the other pair angle is obtuse angle on two lines interesting point

180- x (where x is an acute angle)

then it is equal to the obtuse angle which is greater than 180 degrees and Less than 90 degrees

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.