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Question
Statements a and b are as given below:
a: If two lines intersect, then the vertically opposite angles are equal.
b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°.
Then ______.
Options
both a and b are true
a is true and b is false
a is false and b is true
both a and b are false
Solution
a is true and b is false.
Explanation:
Statement I
If lines l and m intersect each other, then x and y are known as vertically opposite angles. The vertically opposite angles so formed are equal.
∴ x = y
Statement II
If two lines l and m are intersected by a transversal P, then the sum of two interior angles will be 180°, only if l and m are parallel.
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