Question

draw an angle XYZ equal to 90 degree. using the compass and ruler draw YO the bisector of angle XYZ . measure angle XYO and angle ZYO . are they equal

Answer 1

obviously they are equal if u have drawn bisector of it... . its a property of bisector that it will divide in 2 equal parts as little same in trisector which divides in 3 equal parts... so let back to your answer your answer is 45° angle = angle xyo =zyo ....

Answer 2

Given that,

An angle XYZ equal to 90 degree.

We need to draw an angle XYZ equal to 90 degree

Using given data

Firstly, we draw a line XY.

Now, consider as a center of X then we draw an arc of some radius,

That is point as center and draw a arc on upper side.

Now,  consider as a center of X and draw an arc on upper side.

Then, we draw a line with X, which is perpendicular of XY.

The point of this line is O.

Now, consider as a center of O then we draw an arc below of O and  in between O and Y.

Again, consider as a center of Y then we draw an arc upper of Y and  in between O and Y.

The intersection point of O and Y is Z.

According to diagram,

Angle XYZ is 90°.

Angle XYO and ZYO are equal.

Hence, That is proved.