What is the measure of the angle of intersection when ab is the
perpendicular bisector of xy?
оа. 60°
ов. 45°
ос. 30°
op. 90°

Option 90°

Step-by-step explanation:

AB is the perpendicular bisector of XY

The result of intersection will give 4 right angles

So,the measure of the angle of intersection when AB is the perpendicular bisector of XY = 90°

See the attached figure.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

hope this is what you were asking for!

step-by-step explanation: