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चतुर्भुजों को समझना

Question
CBSEHHIMAH8003713

Solution

(a) एक त्रिभुज के तीनों कोणों का योग =  180 degree

straight m angle 1 space plus space 30 degree space plus space 90 degree space equals space 180 degree

straight m angle 1 space plus space 120 degree space equals space 180 degree

straight m angle 1 space equals space 180 degree space minus space 120 degree space equals space 60 degree

straight x space plus space 90 degree space equals space 180 degree

equals space 180 degree space minus space 90 degree space equals space 90 degree

straight y space plus space straight m angle 1 space equals space 180 degree

straight y space plus space 60 degree space equals space 180 degree

straight y space equals space 180 degree space minus space 60 degree space equals space 120 degree

straight z space plus space 30 degree space equals space 180 degree

straight z space equals space 180 degree space minus space 30 degree space equals space 150 degree

straight x space plus space straight y space plus space straight z space equals space 90 degree space plus space 120 degree space plus space 150 degree space equals space 360 degree
(b) एक चतुर्भुज के कोणों का योग =  360 degree



straight m angle 1 space plus space 120 degree space plus space 80 degree space plus space 60 degree space equals space 360 degree

straight m angle 1 space plus space 260 degree space equals space 360 degree

straight m angle 1 space equals space 360 degree space minus space 260 degree space equals space 100 degree

straight x space plus space 120 degree space equals space 180 degree

straight x space equals space 180 degree space minus space 120 degree space equals space 60 degree

straight y space plus space 80 degree space equals space 180 degree

straight y space equals space 180 degree space minus space 80 degree space equals space 100 degree

straight z space plus space 60 degree space equals space 180 degree

straight z space equals space 180 degree space minus space 60 degree space equals space 120 degree

straight m angle 1 space plus space straight w space equals space 180 degree

straight w space equals space 180 degree space minus space straight m angle 1

straight w space equals space 180 degree space minus space 100 degree space equals space 80 degree

straight x space plus space straight y space plus space straight z space space plus space straight w space equals space 60 degree space plus space 100 degree space plus space 120 degree space plus space 80 degree space equals space 360 degree