Question

If two lines intersect each other at some point 'P'. Out of the four angles, one angle is twice the other. This much information is sufficint to find out all the angles.

• A. True
• B. False

Answer 1

The correct option is A

True

The only information here is that one of the four angles is twice the other.

Any two angles at the point of intersection of two lines are either opposite angles or adjacent angles.

Given two angles cannot be opposite angles since they are not equal, so they must be adjacent to each other.

Sum of adjacent angles is ${180}^{\circ }$, so if one angle is 'x' and another is '2x' then

x + 2x = ${180}^{\circ }$

or, x = ${60}^{\circ }$

So, one angle is ${60}^{\circ }$, another is two times i.e ${120}^{\circ }$.

Now other two angles will be opposite to above angles

Hence, all the angles are known.