Question 41

State whether the given statement is True or False.

Two angles can have exactly five points in common.

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Solution

Two angles can have atmost one point in common.
For example,
Consider two angles $∠ 1$ and $∠ 2$
Case (i) Both angles are not in contact.

They have no points in common
Case (ii) $∠ 1$ and $∠ 2$ are adjacent angles

They have one point in common.
Case (iii) $∠ 1$ and $∠ 2$ emerge from a single point.
They have one point in common

Hence the given statement that two angles can have exactly five points in common is false.

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