RRB Group D 17-Sep-2018 Shift 1 Solved Paper

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Question : 79 of 100

Marks: +1, -0

In the given diagram, TU || PS and points

\Q

and

{\R}

lie on

{\PS}, {\Also}, ∠ {\PQT}= {x}^{∘}, ∠ {\RQT}=( {x}-50)^{∘}

and

∠ {\TUR}=( {x}+25^{∘}) .

What is the measure of

∠ {\URS} ?

$135^{∘}$
$130^{∘}$
$115^{∘}$
$140^{∘}$

Solution:

Acc. to linear pair axiom

∠ {PQT}+∠ {RQT}=180^{∘}

⇒ \;\; x+x-50=180^{∘}

2 x=230

x=115

∴ \;\; ∠ {TUR}=115^{∘}+25^{∘}=140^{∘}

⇒ ∠ {URS}=140^{∘}\{ ∴ \;\text " alternate angles "\;\}

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