question 3 of 8
select the correct answer.
in the figure, $ \overleftrightarrow { p q } \parallel \overleftrightarrow { s r } $, $ \overleftrightarrow { p s } \perp \overleftrightarrow { p q } $ and $ \overleftrightarrow { s r } $, and $ \overleftrightarrow { q r } \perp \overleftrightarrow { p q } $ and $ \overleftrightarrow { s r } $.
which statement describes a relationship between angles in the figure?
$ \bigcirc \mathrm { m } \angle s r u = \mathrm { m } \angle q p s \times 2 $
$ \bigcirc \mathrm { m } \angle s r u = \mathrm { m } \angle p q t \times 2 $
$ \bigcirc \mathrm { m } \angle p q r = \mathrm { m } \angle t q r \div 2 $
$ \bigcirc \mathrm { m } \angle p q r = \mathrm { m } \angle p s r \div 2 $

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Accepted Answer

# Explanation:
## Step1: Analyze each option
- For $m\angle SRU$ and $m\angle QPS$:
$m\angle QPS = 90^{\circ}$, $m\angle SRU = 90^{\circ}$, so $m\angle SRU
eq m\angle QPS\times2$
- For $m\angle SRU$ and $m\angle PQT$:
$m\angle PQT = 90^{\circ}$, $m\angle SRU = 90^{\circ}$, so $m\angle SRU
eq m\angle PQT\times 2$
- For $m\angle PQR$ and $m\angle TQR$:
$m\angle PQR = 90^{\circ}$, $m\angle TQR = 90^{\circ}$, so $m\angle PQR
eq m\angle TQR\div2$
- For $m\angle PQR$ and $m\angle PSR$:
$m\angle PSR=180^{\circ}$, $m\angle PQR = 90^{\circ}$, and $90^{\circ}=180^{\circ}\div2$

# Answer:
$m\angle PQR = m\angle PSR\div2$

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Step1: Analyze each option

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