In Figure. i. = .........+ ......... ii. = .........+ ......... i… - Vidyadip

Question

In Figure.
$i. \angle\text{TPQ}=\angle.........+ \angle.........$
$ii. \angle\text{UQR}=\angle.........+ \angle.........$
$iii. \angle\text{PRS}=\angle.........+ \angle.........$

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Answer

Exterior angle property,
The measure of an exterior angle is equal to the sum of the two opposite interior angles.
$\angle\text{TPQ}=\angle\text{PQR}+\angle\text{PRQ}$
$\angle\text{UQR}=\angle\text{QRP}+\angle\text{QPR}$
$\angle\text{PRS}=\angle\text{RPQ}+\angle\text{RQP}$

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