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102-Btagp =100find &emaininganglesR |
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Answer» Let n be the number of sidesSum of all interior angles of a polygon = (n - 2) 180oFour angles measure 100o each and remaining angles (i.e n - 4) measure 160o eachrightwards double arrow 100 cross times 4 plus left parenthesis n minus 4 right parenthesis cross times 160 equals left parenthesis n minus 2 right parenthesis cross times 180rightwards double arrow 400 plus 160 n minus 640 equals 180 n minus 360rightwards double arrow 760 minus 640 equals 20 nrightwards double arrow 120 equals 20 nrightwards double arrow n equals 6H e n c e comma SPACE t h e space n u m b e r space o F space s i d e s space o f space t h e space p o l y g o n space i s space 6.Step-by-step EXPLANATION: |
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