Lines PQ and RS are parallel- It is given that - RSP - 52- then find - SPQ-

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Standard IX

Mathematics

Basics of Geometry

Lines PQ and ...

Question

Lines PQ and RS are parallel. It is given that $∠ R S P = 52^{\circ}$ , then find $∠ S P Q$ .

38^{\circ}

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52^{\circ}

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45^{\circ}

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48^{\circ}

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Solution

The correct option is B $52^{\circ}$
PQ and RS are parallel lines, so, $∠ R S P = ∠ S P Q$ , because they are alternate interior angles.
Therefore $∠ S P Q = 52^{\circ}$

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Lines PQ and RS are parallel. It is given that ∠RSP=52∘, then find ∠SPQ.

The correct option is B 52∘PQ and RS are parallel lines, so, ∠RSP=∠SPQ, because they are alternate interior angles. Therefore ∠SPQ=52∘

Lines PQ and RS are parallel. It is given that $∠ R S P = 52^{\circ}$ , then find $∠ S P Q$ .

The correct option is B $52^{\circ}$
PQ and RS are parallel lines, so, $∠ R S P = ∠ S P Q$ , because they are alternate interior angles.
Therefore $∠ S P Q = 52^{\circ}$