Question

If two lines never intersect each other then, What is the comparision of their ratio​

Answer 1

Answer:

Step-by-step explanation:

Given,

Two straight lines intersect each other in such a way that one of the formed angles is 90°.

To find,

Remaining angles are also 90°.

Solution,

Let,the two straight lines = AB and CD And, their intersection point = O

According,to the data mentioned in the question one of the formed angles is 90°. We marked that 90° angle as ZBOC. (Shown in diagram below.)

Other three angles are = ZAOC,ZAOD and ZBOD.

Now,AB is a straight line. So,the ZAOB will be 180°.

ZAOC+<BOC = 180°

ZAOC+90° = 180°

ZAOC = 180°-90°

ZAOC = 90°

We know that,the vertical angles which are created by the intersection of two straight lines, are equal.

In this case, ZBOC and ZAOD are vertical angles. And, ZAOC and <BOD are vertical angles.

So,

ZBOC ZAOD

ZAOC = <BOD

Or,

90° = ZAOD (By, putting the value.)

90° = ZBOD (By, putting the value.)

Hence, the remaining angles are also 90°.