Question

Four girls each made a statement about the given figure.
Sanchi : "I can see $6$ pairs of perpendicular lines".
Trishika: "There are $7$ angles in the figure".
Sidakl: "There is only one pair of parallel lines".
Mini: "$6$ of the angles are less than a right angle".
Which girl made the CORRECT statement?

• A. Sanchi
• B. Trishika
• C. Sidak
• D. Mini

Answer 1

The correct option is A Sanchi

Number of perpendicular lines $=$ $6$ (6 right angles)

Number of angles (inner & outer) $=$ $18$ (9 inner + 9 outer)

Number of parallel lines $=$ $4$

Number of pairs of parallel lines $=$ ${}^4{C}_2$=$12$ (all 4 parallel to each other)

Number of acute angles $=$ $2$

So, from the above facts we found out from the figure, we understand that only Sanchi was correct about her statements.

So, the answer is $Sanchi$. $\left[A\right]$