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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Question 41 State whether the given statement is True or False. Two angles can have exactly five points in common.

Question 41

State whether the given statement is True or False.

Two angles can have exactly five points in common.