CBSE Class 9 Answered
In the figure, PQRS is a trapezium in which PQ
SR. if
P = 55o and
Q = 70o, find
R and
S. ![](https://images.topperlearning.com/topper/questions/8483_image013.jpg)
![](https://images.topperlearning.com/topper/questions/8483_image012.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image013.jpg)
Asked by Topperlearning User | 16 Aug, 2017, 14:24: PM
PQ SR
P +
S = 180o (co-interior angles)
![](https://images.topperlearning.com/topper/questions/8483_image014.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image014.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
Now
Q +
R = 180o (co-interior angles)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image014.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image014.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
Hence
R = 110o and
S = 125o
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
![](https://images.topperlearning.com/topper/questions/8483_image001.gif)
Answered by | 16 Aug, 2017, 16:24: PM
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