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CBSE Class 7 Answered

In the isosceles triangle Angle ABC , Angle A and Angle B are equal. Angle ACD is an exterior angle of an triangle ABC.The measure of Angle ACB and Angle ACD are (3× - 17)° and (8× + 10° respectively. Find the measure of Angle ACB and Angle ACD. Also find the measure of Angle A and Angle B
Asked by kskadam721 | 31 Jul, 2019, 09:35: PM
answered-by-expert Expert Answer
begin mathsize 16px style angle ACB space plus space angle ACD thin space equals space 180 degree space space space.......... space Linear space Pair rightwards double arrow 3 straight x space minus space 17 space plus space 8 straight x space plus space 10 space equals space 180 degree rightwards double arrow 11 straight x space minus space 7 space equals space 180 rightwards double arrow 11 straight x space equals space 187 rightwards double arrow space space space space straight x space equals space 17 straight m angle ACB space equals space open parentheses 3 straight x space minus space 17 close parentheses degree space equals space open parentheses 3 space cross times space 17 minus space 17 close parentheses degree space equals space 34 degree straight m angle ACD space equals space open parentheses 8 straight x space plus space 10 close parentheses degree space equals space open parentheses 8 space cross times space 1 space 7 space plus space 10 close parentheses degree equals space 146 degree straight m angle ACD space equals space straight m angle straight A space plus space straight m angle straight B space space space space space left parenthesis Property space of space exterior space angle space of space straight a space triangle right parenthesis rightwards double arrow straight m angle ACD space space equals space space 2 left parenthesis straight m angle straight A right parenthesis space space space space space space space space space space space space space space left parenthesis angle straight A space equals space angle straight B right parenthesis rightwards double arrow straight m angle straight A space equals space 146 space divided by space 2 equals 73 degree space equals space straight m angle straight B end style
Answered by Yasmeen Khan | 01 Aug, 2019, 01:44: PM
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