Question

Two lines intersect at a single point. Comment on the possible angles formed by the two lines.

• A. Two obtuse angles
• B. Two acute angles
• C. Straight angles
• D. Right angles

Answer 1

Answer: (A), (B), (D)

Right angles

Consider two lines AB and EF, which intersect at a single point P.

From the figure, we can observe that the measure of $\angle 2$ and $\angle 3$ are more than ${90}^o.$
Hence, these are obtuse angles.

Also, $\angle 1$ and $\angle 4$ are less than ${90}^o.$
$\therefore$ These are acute angles.

Hence, options (a) and (b) are correct.

Now, consider two perpendicular lines intersect at a point.

Here, angles $\angle a,\angle b,\angle c$ and $\angle d$ are right angles.
$\therefore$ Option (d) is also correct.