The sides QP and SR of quadrilateral PQRS are produced as shown in figure Also, $$(\mathbf{PQ}\parallel \mathbf{SR})$$. Then which of the following statements is correct?

Question

TuteeHUB · Accepted Answer

$${{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}$$

TuteeHUB · Answer

$$2{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}$$

TuteeHUB · Answer

$${{x}^{{}^\circ }}+\frac{1}{2}{{y}^{{}^\circ }}=\frac{{{a}^{{}^\circ }}+{{b}^{{}^\circ }}}{2}$$

TuteeHUB · Answer

$${{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}$$

1.	The sides QP and SR of quadrilateral PQRS are produced as shown in figure Also, \[(\mathbf{PQ}\parallel \mathbf{SR})\]. Then which of the following statements is correct?
A.	\[2{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\]
B.	\[{{x}^{{}^\circ }}+\frac{1}{2}{{y}^{{}^\circ }}=\frac{{{a}^{{}^\circ }}+{{b}^{{}^\circ }}}{2}\]
C.	\[{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\]
D.	\[{{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}\]
Answer» D. \[{{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}\]

The sides QP and SR of quadrilateral PQRS are produced as shown in figure Also, \[(\mathbf{PQ}\parallel \mathbf{SR})\]. Then which of the following statements is correct?

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