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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, 07:29: PM
answered-by-expert Expert Answer
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
Answered by Yasmeen Khan | 08 Feb, 2021, 07:47: PM

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