CBSE Class 9 Answered
In a triangle ABC, if angle A + angle B = 65
and angle B + angle C = 140
, then the measure of angle B is
(a) 40
(b) 25
c) 115
(d) 60
Asked by swatipuspapatel | 07 Feb, 2021, 19:29: PM
Sum of all the angles of a triangle is 180°.
In ΔABC,
![begin mathsize 16px style straight m angle straight A space plus space straight m angle straight B space plus space straight m angle straight C space equals space 180 degree
rightwards double arrow 65 degree space plus space straight m angle straight C space equals space 180 degree space............ left parenthesis given space that space straight m angle straight A space plus space straight m angle straight B space equals space 65 degree right parenthesis
rightwards double arrow space straight m angle straight C equals 180 degree minus space 65 degree space equals space 115 degree space.... left parenthesis 1 right parenthesis
straight m angle straight B space plus space straight m angle straight C space equals space 140 degree space..... given
rightwards double arrow straight m angle straight B space plus 115 degree space equals space 140 degree
rightwards double arrow straight m angle straight B space space equals space 140 degree space minus 115 degree equals space 25 degree
end style](https://images.topperlearning.com/topper/tinymce/cache/4bd9b0120844c27d359752373f63334f.png)
Answered by Yasmeen Khan | 08 Feb, 2021, 19:47: PM
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