Mathematics

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

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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Single Correct Medium Published on 09th 09, 2020
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