Two lines intersect at a single point. Comment on the possible angles formed by the two lines.
A
Two obtuse angles
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B
Two acute angles
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C
Straight angles
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D
Right angles
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Solution
The correct option is 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 ∠2 and ∠3 are more than 90o.
Hence, these are obtuse angles.
Also, ∠1 and ∠4 are less than 90o. ∴ These are acute angles.
Hence, options (a) and (b) are correct.
Now, consider two perpendicular lines intersect at a point.
Here, angles ∠a,∠b,∠c and ∠d are right angles. ∴ Option (d) is also correct.