Mathematics

If two straight lines intersect, the measures of the vertically opposite angles are ________.


Answer & Solution

equal


SOLUTION
If two straight lines intersect, the measures of the vertically opposite angles are Equal.
Prove- $$\angle CBE=\angle DBA$$
We know,
$$\angle CBE+\angle DBC=180^{0}$$ (Supplementery)
$$=>\angle CBE=180^{0}-\angle DBC$$ (I)
Again,
$$\angle DBA+\angle DBC=180^{0}$$ (Supplementary)
$$=>\angle DBA=180^{0}-\angle DBC$$  (II)
$$\therefore \angle CBE=\angle DBA$$.
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