CBSE Class 9 Answered
the exterior angles obtained on producing the base of a triangle both ways are 100° and 120°. find all the angles
Asked by raghavgargrg28 | 10 Sep, 2021, 17:11: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/16455dc0ff02b3f7fca6e46f65d0e7c861430c1449ea96.49101913f2.png)
Figure shows ΔABC whose sides AB and AC are extended .
If exterior
B =100o , then interior
B = ( 180 -100 ) = 80o
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
If exterior
C =120o , then interior
C = ( 180 -120 ) = 60o
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
Then
A = ( 180 - 80 - 60 ) = 40o
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
Hence angles of ΔABC ,
A = 40o ,
B = 80o ,
C = 60o
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
![begin mathsize 14px style angle end style](https://images.topperlearning.com/topper/tinymce/cache/f1d45fc0daa19a85e39a8446cd27e48f.png)
Answered by Thiyagarajan K | 16 Sep, 2021, 14:58: PM
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