CBSE Class 9 Answered
In the given figure, AB||CD. Find the value of x.
![question image](http://images.topperlearning.com/topper/new-ate/245074QU.png)
Asked by Santosh.kumar0317 | 19 Aug, 2019, 17:12: PM
AB || DC and AC is a transversal.
m
BAC + m
ACD = 1800 (Sum of Co - interior angle is 1800 )
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
→m
ACD = 1800 - 750 = 1050
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
m
ECF =m
ACD = 1050 ...(vertically opposite angles)
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
In ΔCEF,
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
![begin mathsize 16px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/1ca2da5aecf8a3664fe913c2bf0bfb75.png)
→ 1050 + x + 300 =1800
→ x = 450
Answered by Yasmeen Khan | 19 Aug, 2019, 17:46: PM
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