Question

The measure of vertically opposite angles formed by a pair of intersecting lines are 4 x + 5 degrees and 6x - 25 degrees then find the value of x degrees

Answer 1

Clearly, angles ∠1 and ∠2 form a linear pair.

Therefore, ∠1 + ∠2 = 180°

or, ∠1 = 180° - ∠2 …………(i)

again similarly, ∠2 and ∠3 form a linear pair.

Therefore, ∠2 + ∠3 = 180°

or, ∠3 = 180° - ∠2 …………(ii)

From (i) and (ii) we get;

∠1 = ∠3

Similarly, we can prove that ∠2 = ∠4